Question

A cube has a volume of 216 cm3. The length of the side of the cube (in cm) is

• A. $5$
• B. $8$
• C. $6$
• D. $7$

Answer 1

The correct option is C $6$

Volume of cube = $a^3$,
Where a is the side of the cube.

In a cube, length, breadth and height are all equal. So, the side of the cubical tank can be found by finding the cube root of 216.

$\begin{array}{cc}2& 216\\ 2& 108\\ 2& 54\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$
Prime factorisation of 216 = $2\times 2\times 2\times 3\times 3\times 3$
$\sqrt[3]{3216c{m}^3}$ = $\sqrt[3]{32^3\times 3^3}$ = 6 cm
So, side = 6 cm