Question

An oil fired furnace requires an overhead oil tank of 30 litres capacity, find the inside dimensions of the tank if the length, breadth and depth are in the ratio of 5:3:2 ( 1 litre=1000 cu. cm.)

Answer 1

Lent lenght, breadth and depth of oil tank be 5x, 3x and 2x cm respectively.

A/Q
Volume = 30 liters
or, l×b×h = 30×1000 cu. cm
or,or, 5x × 3x × 2x = 30000 cu. cm
or, 30x^3 = 30000 cu. cm
or, x^3 = 30000/30 cu. cm
or, x = 3√1000
Therefore, x = 10 cm

So, Length = 5x = 50 cm
Breadth = 3x = 30 cm
Depth = 2x = 20 cm