Question

the internal dimensions of a hole are in the ratio 7 ratio 5 ratio 3 if the volume of the room is 2835 M cube then find the length of the whole

Answer 1

let the internal dimensions of a hole be 7x, 5x and 3x.
volume = l × b × h
2835 = 7x × 5x × 3x
2835 = 105x^3
2835/105 = x^3
x^3 = 27
x = cubic root 27
x = 3m
now , the length of the room = 7x
= 7 × 3m
= 21m