Question

Find the volume of a cube whose total surface
area is 96 m2. Is the numerical value of the
volume a perfect square? ​

Answer 1

Step-by-step explanation:

$total \: surface \: area \: of \: the \: cube \: = 96 \: {m}^{2}$

Cube has six surfaces.

$area \: of \: one \: surfac \: = \: 96 \div 6 \\ = 16 \: {m}^{2}$

Consider the length of the cube is

$l$

there for,

$l = \sqrt{16 } = 4$

The equation for volume of the cube is

${l}^{3}$

There for,

${l}^{3} = {4}^{3} = 64 {m}^{3}$

Hence the answer is

$64 {m}^{3}$