# The diagonal of a cube is 8. Find its surface area?

August 29, 2021 | education

| The square of the diagonal of a parallelepiped is equal to the sum of the squares of its three dimensions, and since this parallelogram is a cube, then d ^ 2 = 3 * a ^ 2.

a ^ 2 = d ^ 2/3 = 64/3.

a = 8 / √3.

The surface area of a cube is equal to six areas of its faces.

Spov = 6 * a ^ 2 = 6 * 64/3 = 128 cm2.

Answer: The surface area of a cube is 128 cm2.

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.