Question

the surface area of a cube is 32 2/3m^2. Find the volume of cube. with full method

Answer 1

Surface area of cube = $32 \frac{2}{3} = \frac{98}{3} {m}^{2}$
$6 {side}^{2} = \frac{98}{3} \\ \\ {side}^{2} = \frac{98}{3 \times 6} \\ \\ side \: = \sqrt{ \frac{98}{18} }$
Volume of cube = ${side}^{3}$ = $( \sqrt{ \frac{98}{18} })^{3} = \frac{98}{18} \sqrt{ \frac{98}{18} }$