NCERT Solutions for Class 8 Maths Exercise 11.4

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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.

NCERT solutions for Class 8 Maths Mensuration Download as PDF

NCERT Solutions for Class 8 Maths Exercise 11.4

NCERT Solutions for Class 8 Maths Mensuration

Class –VIII Mathematics (Ex. 11.4)
NCERT SOLUTION
1.Given a cylindrical tank, in which situation will you find surface are and in which situation   volume.

(a) To find how much it can hold.

(b) Number of cement bags required to plaster it.

(c) To find the number of smaller tanks that can be filled with water from it.

Ans.  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.

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.

(a) Volume (b) Surface area (c) Volume


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.

Ans. 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).

Diameter of cylinder A = 7 cm

 Radius of cylinder A =  cm

And Height of cylinder A = 14 cm

 Volume of cylinder A =

=

= 539

Now Diameter of cylinder B = 14 cm

 Radius of cylinder B =  = 7 cm

And Height of cylinder B = 7 cm

 Volume of cylinder A =

=

= 1078

Total surface area of cylinder A

=  [ It is open from top]

=

=

=  = 346.5 cm2

Total surface area of cylinder B

=  [ It is open from top]

=   7 (2  7 + 7)

= 22  (14 + 7) = 22  21 = 462

Yes, cylinder with greater volume also has greater surface area.


3. Find the height of a cuboid whose base area is 180 and volume is 900?

Ans. Given: Base area of cuboid = 180 and Volume of cuboid = 900

We know that,

Volume of cuboid =

900=180 

  = 5 m

Hence the height of cuboid is 5 m.


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?

Ans. Given: Length of cuboid  = 60 cm, Breadth of cuboid  = 54 cm and

Height of cuboid  = 30 cm

We know that, Volume of cuboid

=  = 60  54  30

And Volume of cube = (Side)3

= 6  6  6

 Number of small cubes

=

= 450

Hence required cubes are 450.


NCERT Solutions for Class 8 Maths Exercise 11.4

5. Find the height of the cylinder whose volume if 1.54 and diameter of the base is 140 cm.

Ans. Given: Volume of cylinder = 1.54 and Diameter of cylinder = 140 cm

 Radius =  = 70 cm

Volume of cylinder =

 1.54 =

 

  = 1 m

Hence height of the cylinder is 1 m.


NCERT Solutions for Class 8 Maths Exercise 11.4

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.

Ans. Given: Radius of cylindrical tank  = 1.5 m and Height of cylindrical tank  = 7 m

Volume of cylindrical tank =

=  = 49.5

= 49.5  1000 liters

[ 1 = 1000 liters]

= 49500 liters

Hence required quantity of milk is 49500 liters.


NCERT Solutions for Class 8 Maths Exercise 11.4

7. If each edge of a cube is doubled,

(i) how many times will its surface area increase?

(ii) how many times will its volume increase?

Ans. (i) Let the edge of cube be

Since, Surface area of the cube (A) =

When edge of cube is doubled, then

Surface area of the cube (A’)

=

A’ = 4  A

Hence surface area will increase four times.

(ii) Volume of cube (V) =

When edge of cube is doubled, then

Volume of cube (V’)=

V’ = 8  V

Hence volume will increase 8 times.


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.

Ans. Given: volume of reservoir = 108

Rate of pouring water into cuboidal reservoir = 60 liters/minute

=  /minute

= /hour

  water filled in reservoir will take = 1 hour

 1  water filled in reservoir will take =  hours

 108  water filled in reservoir will take =  hours = 30 hours

It will take 30 hours to fill the reservoir.

NCERT Solutions for Class 8 Maths Exercise 11.4

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