# Find the volume of a cube if the area of the bottom face is 64 dm.kv.

December 29, 2020 | education

| Any face of a cube, including the bottom one, is a square. The area of a square is found by the following formula:

S = a², where a is the side of the face.

Let us express the side of the face from this formula:

a = √S.

Find the side length:

a = √64 = 8 dm.

All sides of the cube are equal, so its volume is sought using the following formula:

V = a³.

Let’s find the volume of this cube:

V = 8³ = 512 dm³.

Answer: the volume of a cube is 512 cubic decimeters.

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.