Question

Find the surface area of a cube whose volume is $216c{m}^3$.

• A. $216c{m}^3$
• B. $362c{m}^2$
• C. $216c{m}^2$
• D. $362c{m}^3$

Answer 1

The correct option is C $216c{m}^2$

Given, volume of cube, $V=216c{m}^3$

We know, volume of a cube of side ${}^{\prime }{a}^{\prime }$ is $a^3.$

$⟹a^3=216$

$⟹a=\sqrt[3]{3216}$

$⟹a=\sqrt[3]{36\times 6\times 6}=6cm$

Now, Surface area of the cube, $A=6a^2=216c{m}^2$