Question

The volume of a closed cubical tank is 1331 cubic metre. Find the length of the side of the cubical tank

• A. 12 m
• B. 13 m
• C. 11 m
• D. 20 m

Answer 1

The correct option is C

11 m

Let the side of the given cubical tank be 'a' metres .

Volume of the given cube is $a\times a\times a$

Length of the side of cubical tank = $\sqrt[3]{3volume}$

Given that volume = 1331 cubic metre

Length of the side of cubical tank = $\sqrt[3]{31331}$

Prime factorizing 1331 we get
$1331={11}^3$
$\therefore$ Cube root of 1331 is 11

Hence, the length of the side of the cube = 11 m