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RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
EXERCISE 21.2                                                 PAGE NO: 21.15 
 
1.  Find the volume in cubic metres (cu. m) of each of the cuboids whose dimensions 
are:  
(i) length = 12 m, breadth = 10 m, height = 4.5 m 
(ii) length = 4 m, breadth = 2.5m, height = 50 cm 
(iii) length = 10m, breadth = 25 dm, height = 25 cm. 
Solution: 
(i) Given details are, 
Length of a cuboid = 12 m 
Breadth of a cuboid = 10m 
Height of a cuboid = 4.5 m 
By using the formula 
Volume of cuboid = l × b × h 
                              = 12 × 10 × 4.5 
                              = 540 m
3
 
 
(ii) Given details are, 
Length of a cuboid = 4 m 
Breadth of a cuboid = 2.5 m 
Height of a cuboid = 50 cm = 0.50m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 4 × 2.5 × 0.50 
                                 = 5 m
3
 
 
(iii) Given details are, 
Length of a cuboid = 10m 
Breadth of a cuboid = 25 dm = 2.5 m 
Height of a cuboid = 25 cm = 0.25 m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 10 × 2.5 × 0.25 
                                 = 6.25 m
3
 
 
2. Find the volume in cubic decimetre of each of the cubes whose side is  
(i) 1.5 m  
(ii) 75cm 
(iii) 2 dm 5 cm 
Page 2


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
EXERCISE 21.2                                                 PAGE NO: 21.15 
 
1.  Find the volume in cubic metres (cu. m) of each of the cuboids whose dimensions 
are:  
(i) length = 12 m, breadth = 10 m, height = 4.5 m 
(ii) length = 4 m, breadth = 2.5m, height = 50 cm 
(iii) length = 10m, breadth = 25 dm, height = 25 cm. 
Solution: 
(i) Given details are, 
Length of a cuboid = 12 m 
Breadth of a cuboid = 10m 
Height of a cuboid = 4.5 m 
By using the formula 
Volume of cuboid = l × b × h 
                              = 12 × 10 × 4.5 
                              = 540 m
3
 
 
(ii) Given details are, 
Length of a cuboid = 4 m 
Breadth of a cuboid = 2.5 m 
Height of a cuboid = 50 cm = 0.50m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 4 × 2.5 × 0.50 
                                 = 5 m
3
 
 
(iii) Given details are, 
Length of a cuboid = 10m 
Breadth of a cuboid = 25 dm = 2.5 m 
Height of a cuboid = 25 cm = 0.25 m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 10 × 2.5 × 0.25 
                                 = 6.25 m
3
 
 
2. Find the volume in cubic decimetre of each of the cubes whose side is  
(i) 1.5 m  
(ii) 75cm 
(iii) 2 dm 5 cm 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
(i) Given details are, 
Side of cube = 1.5m = 15 dm 
So, Volume of cube = 15
3
 = 3375 dm
3
 
 
(ii) Given details are, 
Side of cube = 75cm = 7.5 dm 
So, Volume of cube = 7.5
3
 = 421.875 dm
3
 
 
(iii) Given details are, 
Side of cube = 2dm 5cm = 2.5 dm 
So, Volume of cube = 2.5
3
 = 15.625 dm
3
 
 
3. How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m? 
Solution: 
Given details are, 
Dimensions of well = 3m × 2m × 5m 
So, 
Volume of clay dug out from well is = l × b × h 
                                                           = 3 × 2 × 5 
                                                           = 30 m
3
 
 
4. What will be the height of a cuboid of volume 168 m
3
, if the area of its base is 28 
m
2
? 
Solution: 
Given details are, 
Volume of a cuboid = 168 m
3
 
Area of base = l × b = 28m
2
  
Let height of cuboid be ‘h’ m 
We know that, 
Volume = l × b × h 
h = volume/ l × b 
   = 168/28 
   = 6m 
? Height of cuboid is 6 m 
 
5. A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain? 
Solution: 
Given details are, 
Page 3


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
EXERCISE 21.2                                                 PAGE NO: 21.15 
 
1.  Find the volume in cubic metres (cu. m) of each of the cuboids whose dimensions 
are:  
(i) length = 12 m, breadth = 10 m, height = 4.5 m 
(ii) length = 4 m, breadth = 2.5m, height = 50 cm 
(iii) length = 10m, breadth = 25 dm, height = 25 cm. 
Solution: 
(i) Given details are, 
Length of a cuboid = 12 m 
Breadth of a cuboid = 10m 
Height of a cuboid = 4.5 m 
By using the formula 
Volume of cuboid = l × b × h 
                              = 12 × 10 × 4.5 
                              = 540 m
3
 
 
(ii) Given details are, 
Length of a cuboid = 4 m 
Breadth of a cuboid = 2.5 m 
Height of a cuboid = 50 cm = 0.50m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 4 × 2.5 × 0.50 
                                 = 5 m
3
 
 
(iii) Given details are, 
Length of a cuboid = 10m 
Breadth of a cuboid = 25 dm = 2.5 m 
Height of a cuboid = 25 cm = 0.25 m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 10 × 2.5 × 0.25 
                                 = 6.25 m
3
 
 
2. Find the volume in cubic decimetre of each of the cubes whose side is  
(i) 1.5 m  
(ii) 75cm 
(iii) 2 dm 5 cm 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
(i) Given details are, 
Side of cube = 1.5m = 15 dm 
So, Volume of cube = 15
3
 = 3375 dm
3
 
 
(ii) Given details are, 
Side of cube = 75cm = 7.5 dm 
So, Volume of cube = 7.5
3
 = 421.875 dm
3
 
 
(iii) Given details are, 
Side of cube = 2dm 5cm = 2.5 dm 
So, Volume of cube = 2.5
3
 = 15.625 dm
3
 
 
3. How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m? 
Solution: 
Given details are, 
Dimensions of well = 3m × 2m × 5m 
So, 
Volume of clay dug out from well is = l × b × h 
                                                           = 3 × 2 × 5 
                                                           = 30 m
3
 
 
4. What will be the height of a cuboid of volume 168 m
3
, if the area of its base is 28 
m
2
? 
Solution: 
Given details are, 
Volume of a cuboid = 168 m
3
 
Area of base = l × b = 28m
2
  
Let height of cuboid be ‘h’ m 
We know that, 
Volume = l × b × h 
h = volume/ l × b 
   = 168/28 
   = 6m 
? Height of cuboid is 6 m 
 
5. A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain? 
Solution: 
Given details are, 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Dimensions of a tank = 8m × 6m × 2m 
We know that, 
Volume of tank = l × b × h 
                          = 8 × 6 × 2 
                          = 96 m
3
 
                          = 96000 litres 
? The tank can contain 96000 litres of water. 
 
6. The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth 
of the tank, if its height and length are 10 m and 2.5 m respectively. 
Solution: 
Given details are, 
Capacity (volume) of cuboidal tank is = 50000 litre = 50 m
3
 
Height of tank = 10 m 
Length of tank = 2.5 m 
Let breadth of tank be ‘b’ m 
We know that, 
Volume = l × b × h 
b = volume / (l × h) 
   = 50/(10×2.5) 
   = 2m 
? Breadth of tank is 2m 
 
7. A rectangular diesel tanker is 2m long, 2m wide and 40cm deep. How many litres 
of diesel can it hold? 
Solution: 
Given details are, 
Length of a tanker = 2m 
Breadth of a tanker = 2m 
Height of a tanker = 40cm = 0.4m 
So, Dimensions of rectangular diesel tank = 2m × 2m × 0.4m 
Volume of tank (amount of diesel it can hold) = l × b × h 
                                                                          = 2 × 2 × 0.4 
                                                                          = 1.6m
3
 
                                                                          = 1600 litres 
? A rectangular diesel tanker can hold 1600 litres of diesel. 
 
8. The length, breadth and height of a room are 5 m, 4.5 m and 3 m respectively. 
Find the volume of the air it contains. 
Page 4


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
EXERCISE 21.2                                                 PAGE NO: 21.15 
 
1.  Find the volume in cubic metres (cu. m) of each of the cuboids whose dimensions 
are:  
(i) length = 12 m, breadth = 10 m, height = 4.5 m 
(ii) length = 4 m, breadth = 2.5m, height = 50 cm 
(iii) length = 10m, breadth = 25 dm, height = 25 cm. 
Solution: 
(i) Given details are, 
Length of a cuboid = 12 m 
Breadth of a cuboid = 10m 
Height of a cuboid = 4.5 m 
By using the formula 
Volume of cuboid = l × b × h 
                              = 12 × 10 × 4.5 
                              = 540 m
3
 
 
(ii) Given details are, 
Length of a cuboid = 4 m 
Breadth of a cuboid = 2.5 m 
Height of a cuboid = 50 cm = 0.50m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 4 × 2.5 × 0.50 
                                 = 5 m
3
 
 
(iii) Given details are, 
Length of a cuboid = 10m 
Breadth of a cuboid = 25 dm = 2.5 m 
Height of a cuboid = 25 cm = 0.25 m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 10 × 2.5 × 0.25 
                                 = 6.25 m
3
 
 
2. Find the volume in cubic decimetre of each of the cubes whose side is  
(i) 1.5 m  
(ii) 75cm 
(iii) 2 dm 5 cm 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
(i) Given details are, 
Side of cube = 1.5m = 15 dm 
So, Volume of cube = 15
3
 = 3375 dm
3
 
 
(ii) Given details are, 
Side of cube = 75cm = 7.5 dm 
So, Volume of cube = 7.5
3
 = 421.875 dm
3
 
 
(iii) Given details are, 
Side of cube = 2dm 5cm = 2.5 dm 
So, Volume of cube = 2.5
3
 = 15.625 dm
3
 
 
3. How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m? 
Solution: 
Given details are, 
Dimensions of well = 3m × 2m × 5m 
So, 
Volume of clay dug out from well is = l × b × h 
                                                           = 3 × 2 × 5 
                                                           = 30 m
3
 
 
4. What will be the height of a cuboid of volume 168 m
3
, if the area of its base is 28 
m
2
? 
Solution: 
Given details are, 
Volume of a cuboid = 168 m
3
 
Area of base = l × b = 28m
2
  
Let height of cuboid be ‘h’ m 
We know that, 
Volume = l × b × h 
h = volume/ l × b 
   = 168/28 
   = 6m 
? Height of cuboid is 6 m 
 
5. A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain? 
Solution: 
Given details are, 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Dimensions of a tank = 8m × 6m × 2m 
We know that, 
Volume of tank = l × b × h 
                          = 8 × 6 × 2 
                          = 96 m
3
 
                          = 96000 litres 
? The tank can contain 96000 litres of water. 
 
6. The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth 
of the tank, if its height and length are 10 m and 2.5 m respectively. 
Solution: 
Given details are, 
Capacity (volume) of cuboidal tank is = 50000 litre = 50 m
3
 
Height of tank = 10 m 
Length of tank = 2.5 m 
Let breadth of tank be ‘b’ m 
We know that, 
Volume = l × b × h 
b = volume / (l × h) 
   = 50/(10×2.5) 
   = 2m 
? Breadth of tank is 2m 
 
7. A rectangular diesel tanker is 2m long, 2m wide and 40cm deep. How many litres 
of diesel can it hold? 
Solution: 
Given details are, 
Length of a tanker = 2m 
Breadth of a tanker = 2m 
Height of a tanker = 40cm = 0.4m 
So, Dimensions of rectangular diesel tank = 2m × 2m × 0.4m 
Volume of tank (amount of diesel it can hold) = l × b × h 
                                                                          = 2 × 2 × 0.4 
                                                                          = 1.6m
3
 
                                                                          = 1600 litres 
? A rectangular diesel tanker can hold 1600 litres of diesel. 
 
8. The length, breadth and height of a room are 5 m, 4.5 m and 3 m respectively. 
Find the volume of the air it contains. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
Given details are, 
Length of a room = 5m 
Breadth of a room = 4.5m 
Height of a room = 3m 
So, Dimensions of a room are = 5m × 4.5m × 3m 
Volume of air = l × b × h 
                       = 5 × 4.5 × 3 
                       = 67.5m
3
 
? The room contains 67.5m
3
 volume of the air. 
 
9. A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can 
it hold? 
Solution: 
Given details are, 
Length of water tank = 3m 
Breadth of water tank = 2m 
Height of water tank = 1m 
So, Dimensions of water tank is = 3m × 2m × 1m 
Volume the water tank can hold = l × b × h 
                                                    = 3 × 2 × 1 
                                                     = 6m
3
 
                                                     = 6000 litres 
? The water tank can hold 6000 litres of water. 
 
10. How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be 
prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick? 
Solution: 
Given details are, 
Dimensions of one plank = 3m × 15cm × 5cm = 300cm × 15cm × 5cm 
Dimensions of wooden block = 6m × 75cm × 45cm = 600cm × 75cm × 45cm 
We know that, 
Number of planks that can be prepared = volume of wooden block / volume of one plank 
                                                               = (600 × 75 × 45) / (300 × 15 × 5) 
                                                               = 90 planks 
? 90 planks are required to prepare the block. 
 
11. How many bricks each of size 25 cm × 10 cm × 8 cm will be required to build a 
wall 5 m long, 3 m high and 16 cm thick, assuming that the volume of sand and 
Page 5


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
EXERCISE 21.2                                                 PAGE NO: 21.15 
 
1.  Find the volume in cubic metres (cu. m) of each of the cuboids whose dimensions 
are:  
(i) length = 12 m, breadth = 10 m, height = 4.5 m 
(ii) length = 4 m, breadth = 2.5m, height = 50 cm 
(iii) length = 10m, breadth = 25 dm, height = 25 cm. 
Solution: 
(i) Given details are, 
Length of a cuboid = 12 m 
Breadth of a cuboid = 10m 
Height of a cuboid = 4.5 m 
By using the formula 
Volume of cuboid = l × b × h 
                              = 12 × 10 × 4.5 
                              = 540 m
3
 
 
(ii) Given details are, 
Length of a cuboid = 4 m 
Breadth of a cuboid = 2.5 m 
Height of a cuboid = 50 cm = 0.50m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 4 × 2.5 × 0.50 
                                 = 5 m
3
 
 
(iii) Given details are, 
Length of a cuboid = 10m 
Breadth of a cuboid = 25 dm = 2.5 m 
Height of a cuboid = 25 cm = 0.25 m 
By using the formula 
Volume of a cuboid = l × b × h 
                                 = 10 × 2.5 × 0.25 
                                 = 6.25 m
3
 
 
2. Find the volume in cubic decimetre of each of the cubes whose side is  
(i) 1.5 m  
(ii) 75cm 
(iii) 2 dm 5 cm 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
(i) Given details are, 
Side of cube = 1.5m = 15 dm 
So, Volume of cube = 15
3
 = 3375 dm
3
 
 
(ii) Given details are, 
Side of cube = 75cm = 7.5 dm 
So, Volume of cube = 7.5
3
 = 421.875 dm
3
 
 
(iii) Given details are, 
Side of cube = 2dm 5cm = 2.5 dm 
So, Volume of cube = 2.5
3
 = 15.625 dm
3
 
 
3. How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m? 
Solution: 
Given details are, 
Dimensions of well = 3m × 2m × 5m 
So, 
Volume of clay dug out from well is = l × b × h 
                                                           = 3 × 2 × 5 
                                                           = 30 m
3
 
 
4. What will be the height of a cuboid of volume 168 m
3
, if the area of its base is 28 
m
2
? 
Solution: 
Given details are, 
Volume of a cuboid = 168 m
3
 
Area of base = l × b = 28m
2
  
Let height of cuboid be ‘h’ m 
We know that, 
Volume = l × b × h 
h = volume/ l × b 
   = 168/28 
   = 6m 
? Height of cuboid is 6 m 
 
5. A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain? 
Solution: 
Given details are, 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Dimensions of a tank = 8m × 6m × 2m 
We know that, 
Volume of tank = l × b × h 
                          = 8 × 6 × 2 
                          = 96 m
3
 
                          = 96000 litres 
? The tank can contain 96000 litres of water. 
 
6. The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth 
of the tank, if its height and length are 10 m and 2.5 m respectively. 
Solution: 
Given details are, 
Capacity (volume) of cuboidal tank is = 50000 litre = 50 m
3
 
Height of tank = 10 m 
Length of tank = 2.5 m 
Let breadth of tank be ‘b’ m 
We know that, 
Volume = l × b × h 
b = volume / (l × h) 
   = 50/(10×2.5) 
   = 2m 
? Breadth of tank is 2m 
 
7. A rectangular diesel tanker is 2m long, 2m wide and 40cm deep. How many litres 
of diesel can it hold? 
Solution: 
Given details are, 
Length of a tanker = 2m 
Breadth of a tanker = 2m 
Height of a tanker = 40cm = 0.4m 
So, Dimensions of rectangular diesel tank = 2m × 2m × 0.4m 
Volume of tank (amount of diesel it can hold) = l × b × h 
                                                                          = 2 × 2 × 0.4 
                                                                          = 1.6m
3
 
                                                                          = 1600 litres 
? A rectangular diesel tanker can hold 1600 litres of diesel. 
 
8. The length, breadth and height of a room are 5 m, 4.5 m and 3 m respectively. 
Find the volume of the air it contains. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
Solution: 
Given details are, 
Length of a room = 5m 
Breadth of a room = 4.5m 
Height of a room = 3m 
So, Dimensions of a room are = 5m × 4.5m × 3m 
Volume of air = l × b × h 
                       = 5 × 4.5 × 3 
                       = 67.5m
3
 
? The room contains 67.5m
3
 volume of the air. 
 
9. A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can 
it hold? 
Solution: 
Given details are, 
Length of water tank = 3m 
Breadth of water tank = 2m 
Height of water tank = 1m 
So, Dimensions of water tank is = 3m × 2m × 1m 
Volume the water tank can hold = l × b × h 
                                                    = 3 × 2 × 1 
                                                     = 6m
3
 
                                                     = 6000 litres 
? The water tank can hold 6000 litres of water. 
 
10. How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be 
prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick? 
Solution: 
Given details are, 
Dimensions of one plank = 3m × 15cm × 5cm = 300cm × 15cm × 5cm 
Dimensions of wooden block = 6m × 75cm × 45cm = 600cm × 75cm × 45cm 
We know that, 
Number of planks that can be prepared = volume of wooden block / volume of one plank 
                                                               = (600 × 75 × 45) / (300 × 15 × 5) 
                                                               = 90 planks 
? 90 planks are required to prepare the block. 
 
11. How many bricks each of size 25 cm × 10 cm × 8 cm will be required to build a 
wall 5 m long, 3 m high and 16 cm thick, assuming that the volume of sand and 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 21 – Mensuration – 
II (Volumes and Surface Areas of a Cuboid and a Cube) 
 
cement used in the construction is negligible? 
Solution: 
Given details are, 
Size of one brick = 25cm × 10cm × 8cm 
Dimensions of wall = 5m × 3m × 16cm = 500 cm × 300 cm × 16cm 
We know that, 
Number of bricks required to build a wall = volume of wall / volume of one brick 
                                                                    = (500×300×16) / (25×10×8) 
                                                                    = 1200 bricks 
? 1200 bricks are required to build the wall. 
 
12. A village, having a population of 4000, required 150 litres water per head per 
day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days 
will the water of this tank last? 
Solution: 
Given details are, 
Population of village = 4000 
Dimensions of water tank = 20m × 15m × 6m 
Water required per head per day = 150 litres 
Total requirement of water per day = 150 × 4000 = 600000 litres 
Volume of water tank = l × b × h 
                                    = 20 × 15 × 6 
                                    = 1800m
3
  
                                    = 1800000 litres 
We know that, 
Number of days water last in the tank = volume of tank / total requirement 
                                                             = 1800000/600000 
                                                             = 3 days 
? Water in the tank last for 3 days. 
 
13. A rectangular field is 70 m long and 60 m broad. A well of dimensions 14 m × 8 
m × 6 m is dug outside the field and the earth dug-out from this well is spread 
evenly on the field. How much will the earth level rise? 
Solution: 
Given details are, 
Dimensions of rectangular field = 70m × 60m 
Dimensions of well = 14m × 8m × 6m 
Amount of earth dug out from well (volume) = l × b × h 
                                                                         = 14 × 8 × 6 = 672m
3
 
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