Question

The length, breadth and height of a room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.

• A. 77%
• B. 75%
• C. 88%
• D. 98%

Answer 1

The correct option is D 98%

Let l, b, h be length, breadth and height of the cuboid
Volume v = l.b.h
Now, l, b, h are increased by 10%, 20%, 50% respectively
$v=l[1+\frac{10}{100}]\times b[1+\frac{20}{100}]+h[1+\frac{50}{100}]$

= 1.98 l.b.h
% change = 98%