Question

The sides of a rectangular solid are $72cm,75cm$and $135cm$. The side of the cube (in cm) whose volume is equal to the solid, is

• A. $75cm$
• B. $80cm$
• C. $85cm$
• D. $90cm$

Answer 1

The correct option is D $90cm$

Given that, T=the sides of a rectangular solid are 72 cm, 75 cm and 135 cm.

Volume of a rectangular solid$72\times 75\times 135=729000c{m}^3$

Now , let the side of cube (new body)$=x$

Given volume of cube (in cm) whose volume is equal to volume of rectangular solid,

So,

$x^3=729000$

$x=90cm$

Hence, this is the answer.