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Volume of 3 D shapes

Total questions: 14

Worksheet time: 17mins

Name
Class
Date
1.

The volume is the (a)   occupied by an object in a 3 D plane

2.

In simple words , volume of a solid Is the number of (a)   units contained in its interior

3.

Select the right ones

a)

Volume of cuboid : ( lbh ) where l = length , b=base , h = height

b)

volume of cube : ( 6l3) where l is the side of the square .As a square has six sides

c)

πr(r+h)\pi r\left(r+h\right) Volume of cylinder :

d)

Surface area of cuboid : 2(lb+bh+hl)

4.

5. If infinite circles are stacked over each other , what is the solid shape that will be obtained ?

a)

Sphere

b)

Rectangular prism

c)

cylinder

d)

Circular prism

5.

6. If infinite squares are stacked over each other , what will be the solid shape obtained ?

(a)  

6.

7. Finally , if many rectangles are stacked over each other what's the solid shape obtained ? ( more than one ☝️ answer may be right 🤠. )

a)

Rectangular prism

b)

Cuboid

c)

Cube

d)

Cylinder

7.

The dimensions of a cuboid are in the ratio of 5:4:2 . Finds its dimensions , if it's volume is 5000 cubic units

a)

L = 25 , B= 28 H= 20

b)

L = 25 , B= 20H= 30

c)

L = 25 , B= 15 H= 20

d)

L=25 , B= 20 H=10

8.

10. The capacity of a cuboidal water tank is 50000 liters. Find the breadth of the tank, if its length and depth are

respectively 2.5 m and 10 m

a)

3m

b)

5 m

c)

2 m

d)

10m

9.

11. The cube A has side thrice as long as that of cube B . The ratio of volume of cube a to cube b is

a)

26:1

b)

26:2

c)

27:2

d)

27:1

10.

12. Number of cubes of edge 5 m that can be cut from a cuboid of dimension 25 m x 15 m x 5 m is

a)

125

b)

15

c)

375

d)

75

11.

13. If two circular cylinders of equal volumes have their heights in the ratio of 1:2 , then the ratio of radii is

a)

1:2

b)

2:1

c)

1: 2\sqrt{2}

d)

2\sqrt{2} :1

12.

14. If the volume of a right solid cylinder is of height 14 cm is 686 π

π

cm^2 . Then it's total surface area will be ________ cm2

a)

924

b)

308

c)

616

d)

278

13.

15. Observe the pic and answer the question below

1. The volume of the wood left is _____ cm 3

a)

49500

b)

63000

c)

564000

d)

13500

14.

16. Three metallic cubes of sides 3 cm , 4 cm,and 5 cm are melted and a new cube is formed . Find the side of the new cube

a)

6cm

b)

6

c)

7cm

d)

7