Question

A surface area of a cube is 18 3/8 m square . Find its volume.

$18 \times \frac{3}{8}$

Answer 1

SA =6a^2= 18×3/8

====a^2 = 3×3/8

====a=√ 9/8= 3 /2√2

Volume of cube =a^3

V========= (3 / 2√2)^3

V= 27/8×2√2

V= 27/16√2

VOLUME=( 27√2) /32 m^3

Answer 2

${a}^{3} = volume \\ \\ surface \: area = 6 {a}^{2} \\ \\ 18 \frac{3}{8} = 6 {a}^{2} \\ \\ \frac{147}{8} = 6 {a}^{2} \\ \\ {a}^{2} = \frac{147}{48 } \\ \\ a = \sqrt{ \frac{147}{48} } \\ \\ \\ volume = {a}^{3} = \frac{147}{48} \sqrt{ \frac{147}{48} }$