Question

The three coterminous edges of a rectangular solid are $36\text{cm},75\text{cm}$ and $80\text{cm}$ respectively, find the edge of a cube which will be of the same capacity.

Answer 1

Let the edge of the cube having same capacity be $a$.

Volume of the cube $=$ Volume of the cuboid
${\left(a\right)}^3=36\times 75\times 80$
$=(3\times 3\times 4\times 5\times 5\times 3\times 4\times 4\times 5)$
$={(3\times 4\times 5)}^3$
$a=(3\times 4\times 5)$
$=60\text{cm}$