Question

A cuboid is $50cm\times 22cm\times 27cm$. What would be the side of a cube having the same volume?

Answer 1

Dimensions of a cuboid:

length$=l=50$cm,breadth$=b=22$cm and height$=h=27$cm

$\therefore$ Volume of the cuboid$=lbh=50\times 22\times 27=29,700‬$

Given: Volume of cube$=$ Volume of cuboid

$\Rightarrow a^3=29,700‬$

$\Rightarrow a={(100\times 3\times 3\times 3\times 11)}^{\frac{1}{3}}$

$\therefore a=3\sqrt[3]{31100}$

Hence side of the cube$=3\sqrt[3]{31100}$