{"id":4744,"date":"2016-05-18T09:49:00","date_gmt":"2016-05-18T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-8-maths-exercise-11-4\/"},"modified":"2018-06-27T11:24:23","modified_gmt":"2018-06-27T05:54:23","slug":"ncert-solutions-for-class-8-maths-exercise-11-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Exercise 11.4"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#NCERT_Solutions_for_Class_8_Maths_Mensuration\" >NCERT Solutions for Class 8 Maths Mensuration<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#Class_%E2%80%93VIII_Mathematics_Ex_114\" >Class \u2013VIII Mathematics (Ex. 11.4)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#NCERT_SOLUTION\" >NCERT SOLUTION<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#1Given_a_cylindrical_tank_in_which_situation_will_you_find_surface_are_and_in_which_situation_volume\" >1.Given a cylindrical tank, in which situation will you find surface are and in which situation \u00a0\u00a0volume.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#2_Diameter_of_cylinder_A_is_7_cm_and_the_height_is_14_cm_Diameter_of_cylinder_B_is_14_cm_and_height_is_7_cm_Without_doing_any_calculations_can_you_suggest_whose_volume_is_greater_Verify_it_by_finding_the_volume_of_both_the_cylinders_Check_whether_the_cylinder_with_greater_volume_also_has_greater_surface_area\" >2. Diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#3_Find_the_height_of_a_cuboid_whose_base_area_is_180_and_volume_is_900\" >3. Find the height of a cuboid whose base area is 180 and volume is 900?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#4_A_cuboid_is_of_dimensions_60_cm_54_cm_30_cm_How_many_small_cubes_with_side_6_cm_can_be_placed_in_the_given_cuboid\" >4. A cuboid is of dimensions 60 cm \u00a054 cm \u00a030 cm. How many small cubes with side 6 cm can be placed in the given cuboid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#5_Find_the_height_of_the_cylinder_whose_volume_if_154_and_diameter_of_the_base_is_140_cm\" >5. Find the height of the cylinder whose volume if 1.54 and diameter of the base is 140 cm.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#6_A_milk_tank_is_in_the_form_of_cylinder_whose_radius_is_15_m_and_length_is_7_m_Find_the_quantity_of_milk_in_liters_that_can_be_stored_in_the_tank\" >6. A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#7_If_each_edge_of_a_cube_is_doubled\" >7. If each edge of a cube is doubled,<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#8_Water_is_pouring_into_a_cuboidal_reservoir_at_the_rate_of_60_liters_per_minute_If_the_volume_of_reservoir_is_108_find_the_number_of_hours_it_will_take_to_fill_the_reservoir\" >8. Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108, find the number of hours it will take to fill the reservoir.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#NCERT_Solutions_for_Class_8_Maths_Exercise_114\" >NCERT Solutions for Class 8 Maths Exercise 11.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-11-4\/#CBSE_app_for_Class_8\" >CBSE app for Class 8<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 8 Maths Exercise 11.4 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 8 Maths\u00a0Mensuration\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics-mensuration\/1460\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/08_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 8 Maths Exercise 11.4\" width=\"156\" height=\"196\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Mensuration\"><\/span>NCERT Solutions for Class 8 Maths Mensuration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VIII_Mathematics_Ex_114\"><\/span><strong>Class \u2013VIII Mathematics (Ex. 11.4)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_SOLUTION\"><\/span><strong>NCERT SOLUTION<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"1Given_a_cylindrical_tank_in_which_situation_will_you_find_surface_are_and_in_which_situation_volume\"><\/span><strong>1.Given a cylindrical tank, in which situation will you find surface are and in which situation \u00a0\u00a0volume.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(a) To find how much it can hold.<\/strong><\/p>\n<p><strong>(b) Number of cement bags required to plaster it.<\/strong><\/p>\n<p><strong>(c) To find the number of smaller tanks that can be filled with water from it.<\/strong><\/p>\n<p><strong>Ans.<\/strong>\u00a0 We find area when a region covered by a boundary, such as outer and inner surface area of a cylinder, a cone, a sphere and surface of wall or floor.<\/p>\n<p>When the amount of space occupied by an object such as water, milk, coffee, tea, etc., then we have to find out volume of the object.<\/p>\n<p><strong>(a)<\/strong> Volume <strong>(b)<\/strong> Surface area <strong>(c)<\/strong> Volume<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"2_Diameter_of_cylinder_A_is_7_cm_and_the_height_is_14_cm_Diameter_of_cylinder_B_is_14_cm_and_height_is_7_cm_Without_doing_any_calculations_can_you_suggest_whose_volume_is_greater_Verify_it_by_finding_the_volume_of_both_the_cylinders_Check_whether_the_cylinder_with_greater_volume_also_has_greater_surface_area\"><\/span><strong>2. Diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 130px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image001.png\" \/><\/p>\n<p><strong>Ans.<\/strong> Yes, we can say that volume of cylinder B is greater, since radius of cylinder B is greater than that of cylinder A (and square of radius gives more value than previous).<\/p>\n<p>Diameter of cylinder A = 7 cm<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a0Radius of cylinder A = <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image003.png\" \/>\u00a0cm<\/p>\n<p>And Height of cylinder A = 14 cm<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a0Volume of cylinder A = <img decoding=\"async\" style=\"height: 21px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image005.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image006.png\" \/><\/p>\n<p>= 539 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p>Now Diameter of cylinder B = 14 cm<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a0Radius of cylinder B = <img decoding=\"async\" style=\"height: 41px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image008.png\" \/>\u00a0= 7 cm<\/p>\n<p>And Height of cylinder B = 7 cm<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a0Volume of cylinder A = <img decoding=\"async\" style=\"height: 21px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image005.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image009.png\" \/><\/p>\n<p>= 1078 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p>Total surface area of cylinder A<\/p>\n<p>= <img decoding=\"async\" style=\"height: 27px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image010.png\" \/>\u00a0[<img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image011.png\" \/>\u00a0It is open from top]\n<p>= <img decoding=\"async\" style=\"height: 45px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image012.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 45px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image013.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image014.png\" \/>\u00a0= 346.5 cm<sup>2<\/sup><\/p>\n<p>Total surface area of cylinder B<\/p>\n<p>= <img decoding=\"async\" style=\"height: 27px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image010.png\" \/>\u00a0[<img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image011.png\" \/>\u00a0It is open from top]\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image015.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a07 (2 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a07 + 7)<\/p>\n<p>= 22 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a0(14 + 7) = 22 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a021 = 462<img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image017.png\" \/><\/p>\n<p>Yes, cylinder with greater volume also has greater surface area.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"3_Find_the_height_of_a_cuboid_whose_base_area_is_180_and_volume_is_900\"><\/span><strong>3. Find the height of a cuboid whose base area is 180 <img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image018.png\" \/>and volume is 900<img decoding=\"async\" style=\"height: 21px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image019.png\" \/>?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Given: Base area of cuboid = 180 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image020.png\" \/>and Volume of cuboid = 900 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p>We know that,<\/p>\n<p>Volume of cuboid = <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image021.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>900=180<img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image022.png\" \/>\u00a0 <img decoding=\"async\" style=\"height: 29px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image023.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image024.png\" \/>\u00a0= 5 m<\/p>\n<p>Hence the height of cuboid is 5 m.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"4_A_cuboid_is_of_dimensions_60_cm_54_cm_30_cm_How_many_small_cubes_with_side_6_cm_can_be_placed_in_the_given_cuboid\"><\/span><strong>4. A cuboid is of dimensions 60 cm <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a054 cm <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a030 cm. How many small cubes with side 6 cm can be placed in the given cuboid?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Given: Length of cuboid <img decoding=\"async\" style=\"height: 27px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image025.png\" \/>\u00a0= 60 cm, Breadth of cuboid <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image026.png\" \/>\u00a0= 54 cm and<\/p>\n<p>Height of cuboid <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image027.png\" \/>\u00a0= 30 cm<\/p>\n<p>We know that, Volume of cuboid<\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image021.png\" \/>\u00a0= 60 <strong><img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/><\/strong>\u00a054 <strong><img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/><\/strong>\u00a030 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p>And Volume of cube = (Side)<sup>3<\/sup><\/p>\n<p>= 6 <strong><img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/><\/strong>\u00a06 <strong><img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/><\/strong>\u00a06 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a0Number of small cubes<\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 213px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image028.png\" \/><\/p>\n<p>= 450<\/p>\n<p>Hence required cubes are 450.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"5_Find_the_height_of_the_cylinder_whose_volume_if_154_and_diameter_of_the_base_is_140_cm\"><\/span><strong>5. Find the height of the cylinder whose volume if 1.54 <img decoding=\"async\" style=\"height: 20px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image029.png\" \/>and diameter of the base is 140 cm.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Given: Volume of cylinder = 1.54 <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>and Diameter of cylinder = 140 cm<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a0Radius <img decoding=\"async\" style=\"height: 27px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image031.png\" \/>= <img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image032.png\" \/>\u00a0= 70 cm<\/p>\n<p>Volume of cylinder = <img decoding=\"async\" style=\"height: 21px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image005.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a01.54 = <img decoding=\"async\" style=\"height: 41px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image033.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image034.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image002.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 128px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image035.png\" \/>\u00a0= 1 m<\/p>\n<p>Hence height of the cylinder is 1 m.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"6_A_milk_tank_is_in_the_form_of_cylinder_whose_radius_is_15_m_and_length_is_7_m_Find_the_quantity_of_milk_in_liters_that_can_be_stored_in_the_tank\"><\/span><strong>6. A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in liters that can be stored in the tank.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 166px; width: 282px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image036.png\" \/><\/p>\n<p><strong>Ans.<\/strong> Given: Radius of cylindrical tank <img decoding=\"async\" style=\"height: 27px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image031.png\" \/>\u00a0= 1.5 m and Height of cylindrical tank <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image027.png\" \/>\u00a0= 7 m<\/p>\n<p>Volume of cylindrical tank = <img decoding=\"async\" style=\"height: 21px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image005.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image037.png\" \/>\u00a0= 49.5 <img decoding=\"async\" style=\"height: 21px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image007.png\" \/><\/p>\n<p>= 49.5 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a01000 liters<\/p>\n[<img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image011.png\" \/>\u00a01 <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>= 1000 liters]\n<p>= 49500 liters<\/p>\n<p>Hence required quantity of milk is 49500 liters.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"7_If_each_edge_of_a_cube_is_doubled\"><\/span><strong>7. If each edge of a cube is doubled,<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) how many times will its surface area increase?<\/strong><\/p>\n<p><strong>(ii) how many times will its volume increase?<\/strong><\/p>\n<p><strong>Ans.<\/strong> <strong>(i)<\/strong> Let the edge of cube be <img decoding=\"async\" style=\"height: 19px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image038.png\" \/><\/p>\n<p>Since, Surface area of the cube (A) = <img decoding=\"async\" style=\"height: 21px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image039.png\" \/><\/p>\n<p>When edge of cube is doubled, then<\/p>\n<p>Surface area of the cube (A\u2019)<\/p>\n<p>=<img decoding=\"async\" style=\"height: 29px; width: 159px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image040.png\" \/><\/p>\n<p>A\u2019 = 4 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a0A<\/p>\n<p>Hence surface area will increase four times.<\/p>\n<p><strong>(ii)<\/strong> Volume of cube (V) = <img decoding=\"async\" style=\"height: 21px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image041.png\" \/><\/p>\n<p>When edge of cube is doubled, then<\/p>\n<p>Volume of cube (V\u2019)=<img decoding=\"async\" style=\"height: 29px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image042.png\" \/><\/p>\n<p>V\u2019 = 8 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image016.png\" \/>\u00a0V<\/p>\n<p>Hence volume will increase 8 times.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 11.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"8_Water_is_pouring_into_a_cuboidal_reservoir_at_the_rate_of_60_liters_per_minute_If_the_volume_of_reservoir_is_108_find_the_number_of_hours_it_will_take_to_fill_the_reservoir\"><\/span><strong>8. Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108<img decoding=\"async\" style=\"height: 20px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image029.png\" \/>, find the number of hours it will take to fill the reservoir.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Given: volume of reservoir = 108 <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/><\/p>\n<p>Rate of pouring water into cuboidal reservoir = 60 liters\/minute<\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image043.png\" \/><img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>\u00a0\/minute<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image044.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image045.png\" \/><img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>\/hour<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image011.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image045.png\" \/><img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>\u00a0water filled in reservoir will take = 1 hour<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a01 <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>\u00a0water filled in reservoir will take = <img decoding=\"async\" style=\"height: 41px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image046.png\" \/>\u00a0hours<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image004.png\" \/>\u00a0108 <img decoding=\"async\" style=\"height: 20px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image030.png\" \/>\u00a0water filled in reservoir will take = <img decoding=\"async\" style=\"height: 41px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/11_4\/image047.png\" \/>\u00a0hours = 30 hours<\/p>\n<p>It will take 30 hours to fill the reservoir.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Exercise_114\"><\/span>NCERT Solutions for Class 8 Maths Exercise 11.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 8\u00a0Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8\u00a0Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_8\"><\/span>CBSE app for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 8 Social Science, Computer Science, Home Science,Hindi ,English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Exercise 11.4 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. 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