Question

The volume of cube is $36c{m}^3$. Its surface area is

• A. $6(36{)}^{\frac{3}{2}}$
• B. $(36{)}^{\frac{3}{2}}$
• C. $6(36{)}^{\frac{2}{3}}$
• D. None

Answer 1

Answer: (C)

$6(36{)}^{\frac{2}{3}}$

Given, volume of cube $=36$ $c{m}^3$

We know, volume of cube $=l^3$

$\therefore 36=l^3$

$\therefore l={36}^{\frac{1}{3}}$

Surface area of cube $=6l^2$

$\therefore A=6\left[\right(36{)}^{\frac{1}{3}}{]}^2$

$\therefore A=6(36{)}^{\frac{2}{3}}$