Question

If a cubical tank has a volume of 8000 m3, then the height of the tank = m.

• A. 20
• B. 10
• C. 15

Answer 1

The correct option is A 20

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

In any cube, length, breadth and height are all equal. So, the dimension of the cubical tank can be found by finding cube root of 8000.
$\begin{array}{cc}2& 8000\\ 2& 4000\\ 2& 2000\\ 2& 1000\\ 2& 500\\ 2& 250\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$
$\Rightarrow$8000 = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$5 $\times$ 5 $\times$ 5

$\sqrt[3]{38000m^3}$ = $\sqrt[3]{3(2^3\times 2^3\times 5^3)m^3}$
= 20 m