Question

The total surface area of
a cube is 216 cm square find its volume​

Answer 1

Answer:

The surface area of a cube = 216 sq cm

Each of the 6 faces has an area = 216/6/ = 36 sq cm. Each edge of cube = 6 cm. Volume of cube = 6^3 = 216 cc.

Answer 2

Answer:

$total \: surface \: area \: of \: cube= 216 \\ total \: surface \: area \: of \: cube = 6 {l}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 216 = 6 \times {l}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{216}{6} = {l}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {l}^{2} = 36 \\ \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = \sqrt{36} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 6 \\ volume \: of \: cube = {l}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {6}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 6 \times 6 \times 6 \\ \:volume \: of \: cube = \: \: 216$