{"id":4992,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-13-5\/"},"modified":"2018-06-19T12:34:11","modified_gmt":"2018-06-19T07:04:11","slug":"ncert-solutions-for-class-9-maths-exercise-13-5","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-13-5\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 13.5"},"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-9-maths-exercise-13-5\/#NCERT_Solutions_for_Class_9_Mathematics_Surface_Areas_and_Volumes\" >NCERT Solutions for Class 9 Mathematics\u00a0Surface Areas and Volumes<\/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-9-maths-exercise-13-5\/#1_A_matchbox_4_cm_x_25_cm_x_15_cm_What_will_be_the_volume_a_packet_containing_12_such_boxes\" >1. A matchbox 4 cm x 2.5 cm x 1.5 cm. What will be the volume a packet containing 12 such boxes?<\/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-9-maths-exercise-13-5\/#2_A_cubical_water_tank_is_6_m_long_5_m_wide_and_45_m_deep_How_many_litres_of_water_can_it_hold_1_m3_1000\" >2. A cubical water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m3 = 1000)<\/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-9-maths-exercise-13-5\/#3_A_cuboidal_vessel_is_10_m_long_and_8_m_wide_How_high_must_it_be_to_hold_380_cubic_meters_of_a_liquid\" >3. A cuboidal vessel is 10 m long and 8 m wide. How high must it be to hold 380 cubic meters of a liquid?<\/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-9-maths-exercise-13-5\/#4_Find_the_cost_of_digging_a_cuboidal_pit_8_m_long_6_m_broad_and_3_m_deep_at_the_rate_of_Rs_30_per_m3\" >4. Find the cost of digging a cuboidal pit 8 m long. 6 m broad and 3 m deep at the rate of Rs. 30 per m3.<\/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-9-maths-exercise-13-5\/#5_The_capacity_of_a_cuboidal_tank_is_50000_litres_of_water_Find_the_breadth_of_the_tank_if_its_length_and_depth_are_respectively_25_m_and_10_m\" >5. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.<\/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-9-maths-exercise-13-5\/#6_A_village_having_a_population_of_4000_requires_150_litres_of_water_per_head_per_day_It_has_a_tank_measuring_20_m_by_15_m_by_6_m_For_how_many_days_will_the_water_of_this_tank_last\" >6. A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m by 15 m by 6 m. For how many days will the water of this tank last?<\/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-9-maths-exercise-13-5\/#7_A_godown_measures_40_m_x_25_m_x_15_m_Find_the_maximum_number_of_wooden_crates_each_measuring_15_m_x_125_m_x_05_m_that_can_be_stored_in_the_godown\" >7. A godown measures 40 m x 25 m x 15 m. Find the maximum number of wooden crates each measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown.<\/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-9-maths-exercise-13-5\/#8_Find_the_minimum_number_of_bricks_each_measuring_225_cm_x_115_cm_x_75_cm_required_to_construct_a_wall_10_m_long_6_m_high_and_15_m_thick\" >8. Find the minimum number of bricks each measuring 22.5 cm x 11.5 cm x 7.5 cm required to construct a wall 10 m long, 6 m high and 1.5 m thick.<\/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-9-maths-exercise-13-5\/#9_A_solid_cube_of_side_12_cm_is_cut_into_eight_cubes_of_equal_volume_What_will_be_the_side_of_the_new_cube_Also_find_the_ratio_between_their_surface_areas\" >9. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.<\/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-9-maths-exercise-13-5\/#10_A_river_3_m_deep_and_40_m_wide_is_flowing_at_the_rate_of_2_km_per_hour_How_much_water_eill_fall_into_the_sea_in_a_minute\" >10. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water eill fall into the sea in a minute?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-13-5\/#11_Find_the_length_of_a_wooden_plank_of_width_25_m_thickness_0025_m_and_volume_025_m3\" >11. Find the length of a wooden plank of width 2.5 m, thickness 0.025 m and volume 0.25 m3.<\/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-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-13-5\/#NCERT_Solutions_for_Class_9_Maths_Exercise_135\" >NCERT Solutions for Class 9 Maths Exercise 13.5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-13-5\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 13.5 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for 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 9 Maths\u00a0<\/strong><strong>Surface Areas and Volumes\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-surface-areas-and-volumes\/1247\/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\/09_Class_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 9 Maths Exercise 13.5\" width=\"167\" height=\"215\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Mathematics_Surface_Areas_and_Volumes\"><\/span>NCERT Solutions for Class 9 Mathematics\u00a0Surface Areas and Volumes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6><span class=\"ez-toc-section\" id=\"1_A_matchbox_4_cm_x_25_cm_x_15_cm_What_will_be_the_volume_a_packet_containing_12_such_boxes\"><\/span><strong>1. <\/strong><strong>A matchbox 4 cm x 2.5 cm x 1.5 cm. What will be the volume a packet containing 12 such boxes?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" id=\"Picture 57\" style=\"height: 124px; width: 265px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image001.jpg\" \/><\/strong><br \/>\n<strong>Ans.<\/strong> Given: Length <img decoding=\"async\" style=\"height: 27px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image002.png\" \/>= 4 cm, Breadth <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image003.png\" \/>= 2.5 cm, Height <img decoding=\"async\" style=\"height: 27px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image004.png\" \/>= 1.5 cm<\/p>\n<p>Volume of a matchbox = <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/><\/p>\n<p>= 4 x 2.5 x 1.5<\/p>\n<p>= 15 cm<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image006.png\" \/>Volume of a packet containing 12<\/p>\n<p>such matchboxes = 12 x 15 = 180 cm<sup>3<\/sup><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"2_A_cubical_water_tank_is_6_m_long_5_m_wide_and_45_m_deep_How_many_litres_of_water_can_it_hold_1_m3_1000\"><\/span><strong>2. <\/strong><strong>A cubical water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m<sup>3<\/sup> = 1000<\/strong><strong><img decoding=\"async\" style=\"height: 19px; width: 9px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image007.png\" \/><\/strong><strong>)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" id=\"Picture 60\" style=\"height: 185px; width: 283px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image008.jpg\" \/><\/strong><\/p>\n<p><strong>Ans.<\/strong> Volume of water in cuboidal tank = 6 m x 5 m x 4.5 m<\/p>\n<p>= 135 m<sup>3<\/sup>= 135 x 1000 liters<\/p>\n<p>= 135000 liters<\/p>\n<p>Hence tank can hold 135000 liters of water.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"3_A_cuboidal_vessel_is_10_m_long_and_8_m_wide_How_high_must_it_be_to_hold_380_cubic_meters_of_a_liquid\"><\/span><strong>3. <\/strong><strong>A cuboidal vessel is 10 m long and 8 m wide. How high must it be to hold 380 cubic meters of a liquid?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let height of cuboidal vessel = <img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image009.png\" \/>m<\/p>\n<p>Volume of liquid in cuboidal vessel<\/p>\n<p>= 380 m<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/>= 380 cm<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/>10 m x 8 m x <img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image009.png\" \/>= 380<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image009.png\" \/>= <img decoding=\"async\" style=\"height: 41px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image011.png\" \/>= 4.75 m<\/p>\n<p>Hence cuboidal vessel is 4.75 m high.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"4_Find_the_cost_of_digging_a_cuboidal_pit_8_m_long_6_m_broad_and_3_m_deep_at_the_rate_of_Rs_30_per_m3\"><\/span><strong>4. <\/strong><strong>Find the cost of digging a cuboidal pit 8 m long. 6 m broad and 3 m deep at the rate of Rs. 30 per m<sup>3<\/sup>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" id=\"Picture 63\" style=\"height: 119px; width: 288px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image012.jpg\" \/><\/strong><\/p>\n<p><strong>Ans.<\/strong> Volume of cuboidal pit = 8 m x 6 m x 3 m= 144 m<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image013.png\" \/>Cost of digging 1 m<sup>3<\/sup> cuboidal pit<\/p>\n<p>= Rs. 30<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image006.png\" \/>Cost of digging 144 m<sup>3<\/sup> cuboidal pit<\/p>\n<p>= 30 x 144 = Rs. 4320<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"5_The_capacity_of_a_cuboidal_tank_is_50000_litres_of_water_Find_the_breadth_of_the_tank_if_its_length_and_depth_are_respectively_25_m_and_10_m\"><\/span><strong>5. <\/strong><strong>The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m. <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(1 m<sup>3<\/sup> = 1000<\/strong><strong><img decoding=\"async\" style=\"height: 19px; width: 9px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image007.png\" \/><\/strong><strong>)<\/strong><\/p>\n<p><strong>Ans.<\/strong> Capacity of cuboidal tank<\/p>\n<p>= 50000 liters<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/>= 50000 liters<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/>2.5 m x <img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image014.png\" \/>x 10 m = <img decoding=\"async\" style=\"height: 41px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image015.png\" \/>m<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 29px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image016.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image017.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image014.png\" \/>= 2 m<\/p>\n<p>Hence breadth of cuboidal tank is 2 m.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"6_A_village_having_a_population_of_4000_requires_150_litres_of_water_per_head_per_day_It_has_a_tank_measuring_20_m_by_15_m_by_6_m_For_how_many_days_will_the_water_of_this_tank_last\"><\/span><strong>6. <\/strong><strong>A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m by 15 m by 6 m. For how many days will the water of this tank last?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Capacity of cuboidal tank<\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/>= 20 m x 15 m x 6 m<\/p>\n<p>= 1800 m<sup>3<\/sup> = 1800 x 1000 liters<\/p>\n<p><img decoding=\"async\" style=\"height: 29px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image016.png\" \/><\/p>\n<p>= 1800000 liters<\/p>\n<p>Water required by her head per day<\/p>\n<p>= 150 liters<\/p>\n<p>Water required by 4000 persons per day = 150 x 4000 = 600000 liters<\/p>\n<p>Number of days the water will last<\/p>\n<p>= <img decoding=\"async\" style=\"height: 44px; width: 251px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image018.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image019.png\" \/>= 3<\/p>\n<p>Hence water of the given tank will last for 3 days.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"7_A_godown_measures_40_m_x_25_m_x_15_m_Find_the_maximum_number_of_wooden_crates_each_measuring_15_m_x_125_m_x_05_m_that_can_be_stored_in_the_godown\"><\/span><strong>7. <\/strong><strong>A godown measures 40 m x 25 m x 15 m. Find the maximum number of wooden crates each measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Capacity of cuboidal godown<\/p>\n<p>= 40 m x 25 m x 15 m = 15000 m<sup>3<\/sup><\/p>\n<p>Capacity of wooden crate = 1.5 m x 1.25 m x 0.5 m = 0.9375 m<sup>3<\/sup><\/p>\n<p>Maximum number of crates that can be stored in the godown<\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image020.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image021.png\" \/>= 16000<\/p>\n<p>Hence maximum 16000 crates can be stored in the godown.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"8_Find_the_minimum_number_of_bricks_each_measuring_225_cm_x_115_cm_x_75_cm_required_to_construct_a_wall_10_m_long_6_m_high_and_15_m_thick\"><\/span><strong>8. <\/strong><strong>Find the minimum number of bricks each measuring 22.5 cm x 11.5 cm x 7.5 cm required to construct a wall 10 m long, 6 m high and 1.5 m thick.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"float: left; height: 186px; width: 197px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image022.jpg\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Ans. <\/strong>Volume of one cuboidal brick<\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/><\/p>\n<p>= 22.5 cm x 11. 5 cm x 7.5 cm<sup>3<\/sup><\/p>\n<p>= 1940.625 cm<sup>3<\/sup><\/p>\n<p>= 0.001940625 m<sup>3<\/sup><\/p>\n<p>Volume of cuboidal wal<\/p>\n<p>= 10 m x 6 m x 1.5 m= 90 m<sup>3<\/sup><\/p>\n<p>Minimum number of bricks required<\/p>\n<p>= <strong><img decoding=\"async\" style=\"height: 41px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image023.png\" \/><\/strong><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image024.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 61px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image025.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 95px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image026.png\" \/>= 46376.81<\/p>\n<p>= 46377 [Since bricks cannot be in fraction]\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"9_A_solid_cube_of_side_12_cm_is_cut_into_eight_cubes_of_equal_volume_What_will_be_the_side_of_the_new_cube_Also_find_the_ratio_between_their_surface_areas\"><\/span><strong>9. <\/strong><strong>A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Volume of solid cube = <img decoding=\"async\" style=\"height: 29px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image027.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 29px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image028.png\" \/>= 1728 cm<sup>3<\/sup><\/p>\n<p>According to question, Volume of each new cube= <img decoding=\"async\" style=\"height: 41px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image029.png\" \/>(Volume of original cube)<\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image030.png\" \/>= 216 cm<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image006.png\" \/>Side of new cube = <img decoding=\"async\" style=\"height: 24px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image031.png\" \/>= 6 cm<\/p>\n<p>Now, Surface area of original solid cube = 6 (side)<sup>2<\/sup><\/p>\n<p>= 6 x 12 x 12 = 864 cm<sup>2<\/sup><\/p>\n<p>Now, Surface area of original solid cube = 6 (side)<sup>2<\/sup>= 6 x 6 x 6 = 216 cm<sup>2<\/sup><\/p>\n<p>Now according to the question,<\/p>\n<p><img decoding=\"async\" style=\"height: 41px; width: 191px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image032.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image033.png\" \/>= <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image034.png\" \/><\/p>\n<p>Hence required ration between surface area of original cube to that of new cube = 4 : 1.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"10_A_river_3_m_deep_and_40_m_wide_is_flowing_at_the_rate_of_2_km_per_hour_How_much_water_eill_fall_into_the_sea_in_a_minute\"><\/span><strong>10. <\/strong><strong>A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water eill fall into the sea in a minute?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong><img decoding=\"async\" id=\"Picture 72\" style=\"height: 133px; width: 371px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image035.jpg\" \/><\/strong><\/p>\n<p><strong>Ans.<\/strong> Since water flows at the rate of 2 km per hour, the water from 2 km of the river flows into the sea in one hour.<\/p>\n<p>Therefore, the volume of water flowing into the sea in one hour<\/p>\n<p>= Volume of a cuboid<\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image005.png\" \/>= 2000 m x 40 m x 3 m<\/p>\n<p>= 240000 m<sup>3<\/sup> [1 km = 1000 m]\n<p>Now, Volume of water flowing into sea in 1 hour (in 60 minutes)<\/p>\n<p>= 240000 m<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image006.png\" \/>Volume of water flowing into sea in 1 minute = <img decoding=\"async\" style=\"height: 41px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image036.png\" \/>= 4000 m<sup>3<\/sup><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 13.5<\/p>\n<h6><span class=\"ez-toc-section\" id=\"11_Find_the_length_of_a_wooden_plank_of_width_25_m_thickness_0025_m_and_volume_025_m3\"><\/span><strong>11. <\/strong><strong>Find the length of a wooden plank of width 2.5 m, thickness 0.025 m and volume 0.25 m<sup>3<\/sup>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"float: left; height: 77px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image037.jpg\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Ans.<\/strong> Given: Volume of wooden plank<\/p>\n<p>= 0.25 m<sup>3<\/sup><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 9px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image007.png\" \/>x 2.5 x 0.025 = 0.25<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image038.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image010.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 9px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/13_5\/image007.png\" \/>= 4 m<\/p>\n<p>Hence required length of wooden plank is 4 m.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_135\"><\/span>NCERT Solutions for Class 9 Maths Exercise 13.5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 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_9\"><\/span>CBSE app for Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 9 Maths, Computer Science, Home Science,Hindi ,English, Social 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 9 Maths Exercise 13.5 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter &#8230; <a title=\"NCERT Solutions for Class 9 Maths Exercise 13.5\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-13-5\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 13.5\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1376,281],"tags":[283,1344,321,1485,216],"class_list":["post-4992","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-09","category-ncert-solutions","tag-cbse-study-material","tag-class-9","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Exercise 13.5 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 13.5 in PDF format for free download. 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