## About "Volume of cube cuboid and cylinder worksheet"

Volume of cube cuboid and cylinder worksheet :

Here we are going to see the some practice questions on finding volume of cube, cuboid and cylinder.

## Volume of cube cuboid and cylinder worksheet - Practice questions

(1)  A godown is in the form of cuboid of measures 60 m x 40 m x 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m3 ?

(2)  A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of cylinder.

(3)  Find the height of cuboid whose base area is 180 cm2 and volume is 900 cm?

(4)  Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm ?

(5)  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 ?

## Volume of cube cuboid and cylinder worksheet - Solution

Question 1 :

A godown is in the form of cuboid of measures 60 m x 40 m x 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m3 ?

Solution :

Volume of one box  =  0.8 m3

Volume of godown  =  60  40 ⋅ 30  =  72000 m3

Number of boxes that can be stored in the godown  =  Volume of godown / Volume of one box

=  (60  40 ⋅ 30) / (0.8)

=  90000

Hence the number of cuboidal boxes that can be stores in the godown is 90000.

Question 2 :

A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of cylinder.

Solution :

Length of paper becomes the perimeter of the base of the cylinder and width becomes height.

Let radius of the cylinder  =  r and height  =  h

Perimeter of base of the cylinder  =  2 Π r  =  11

⋅ (22/7) ⋅ r  =  11

r  =  11 ⋅ (7/22) ⋅ (1/2)

r  =  7/4 cm

Volume of cylinder  =  Π r2 h

=  (22/7)  ⋅ (7/4) ⋅ (7/4) ⋅  4

=  38.5 cm3

Hence the volume of the cylinder is 38.5 cm3.

Question 3 :

Find the height of cuboid whose base area is 180 cm2 and volume is 900 cm3 ?

Solution :

The base of cuboid would be rectangle.

Base area of cuboid  =  180 cm2

length  width  =  180

Volume of cuboid  =  900 cm3

length  width ⋅ height  =  900

180 ⋅ height  =  900

height  =  900 / 180

=  5 cm

Hence the height of cuboid is 5 cm.

Question 4 :

Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm ?

Solution :

Volume of cylinder  =  1.54 m3

diameter of base  =  140 cm

radius  =  140/2  =  70 cm

=  70/100 m  = 0.7 m

Π r2 h  =  1.54

(22/7)  ⋅ 0.7 ⋅ 0.7 ⋅  h  =  1.54

22 ⋅ 0.1 ⋅ 0.7 ⋅ h  =  1.54

h  =  1.54/(22 ⋅ 0.1 ⋅ 0.7)

h  =  1.54/1.54

h  =  1 m

Hence height of cylinder is 1 m

Question 5 :

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 ?

Solution :

Radius of milk tank (r)  =  1.5 m

Length of milk tank (h)  =  7 m

To find the quantity of milk stored in the tank, we have to find the volume of cylindrical tank.

Volume of cylinder  =   Π r2 h

=  (22/7) ⋅ (1.5)⋅ 7

=  22 ⋅ (1.5)2

=  49.5 m2

1 m2  =  1000 liter

=  49.5 (1000)

=  49500 liter

Hence the quantity of milk stored in the tank is 49500 liter.

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