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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