Find the volume of a cube if its surface area is 96 cm2.

The surface of a cube consists of six identical faces, each of which is a square.

So, if we divide the surface area of the cube by 6, then we get the area of one face:

96: 6 = 16 (cm 2).

The area of a cube face is equal to the square of its side. Therefore, the side of our cube will be equal to:

a = √16,

a = 4 (cm).

As you know, the volume of a cube is V = a³, which means that the volume of our cube is: V = 4³ = 64 cm³.

Answer: V = 64 cm³.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.