Question

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

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

Answer 1

The correct option is D $90$

Given, sides of the rectangle $=72$ cm, $75$ cm and $135$ cm
volume of rectangle $=72\times 75\times 135=729000$
volume of rectangle $=$Volume of a cube
Let side of cube $=s$
then $s^3=729000$
$\therefore s=90$ cm