# VOLUME OF CUBOID WORD PROBLEMS

If the length, breadth and height of a cuboid are l, b and h respectively.

Then

(i) Total Surface Area = 2 (lb + bh + lh ) sq.units.

(ii) Lateral Surface Area = 2 (l+b)h sq.units

(iii)  Volume  =  l b h

## Practice Problems

Problem 1 :

The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres.

Solution :

length  =  20.5 m, breadth  =  16 m and height  =  8 m

Capacity of pond  =  lbh

=  20.5 (16) (8)

=  2624 m3

1000 liter  =  1 m3

=  2624 (1000)

=  2624000 liters

Problem 2 :

The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?

Solution  :

Volume of 1 brick  =  l b h

=  24(12)(8)

=  2304 cm3

Volume of wall  =  2000 (48) (600)

=  57600000 m3

Number of bricks required  =  57600000/2304

=  25000

So, the required number of bricks are 25000.

Problem 3 :

The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height

Solution :

Volume of container  =  1440 m3

length x breadth x height  =  1440

15 x 8 x h  =  1440

h  =  1440 / 120

h  =  12 m

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