WORD PROBLEMS ON SURFACE AREA AND VOLUME WORKSHEET

Problem 1 :

How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold ?

Solution

Problem 2 :

Find the volume of the sphere whose surface area is 154 cm2.

Solution

Problem 3 :

Find the capacity of the conical vessel (in liter) having height 8 cm and slant height 10 cm.

Solution

Problem 4 :

Volume of two hemispheres are in the ratio 27 : 125. Find the ratio of the radii.

Solution

Problem 5 :

The radius of the moon is approximately one fifth of the radius of the planet. Find the ratio of their volumes.

Solution

Problem 6 :

Three cubes each with 8 cm edge are joined end to end. Find the total volume of the cuboid formed.

Solution

Problem 7 :

If the total surface area of cube is 726 cm2, find its volume.

Solution

Problem 8 :

A square plate is side x cm and 8 mm thick. If its volume is 22880 cm. Find the value of x.

Solution

Problem 9 :

The total surface area of solid cylinder is 616 cm2 and radius is 7 cm, find the height.

Solution

Problem 10:

Each face of cube has a perimeter of 32 cm. Find the volume of it.

Solution

Answer Key

1)  So, the capacity of the hemispherical bowl is 2.42 liters. 

2)  So, volume of sphere is 179.5 cm3.

3)  Volume of the conical vessel is 108π cm3.

4)  So, ratio between the radii is 3 : 5.

5)  Ratio between volume of planet to moon is 125 : 1.

6)  Volume of those cubes is 1536 cm3.

7)  So, volume of cube is 1331 cm3.

8)  x = 169.1 cm

9)  So, the required height is 7 cm.

10) 512 cm3


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