What is the volume V of a cube with side a? What is the area S of the surface of a rectangular

| April 9, 2021 | education

What is the volume V of a cube with side a? What is the area S of the surface of a rectangular parallelepiped if its dimensions are equal to a, b, c?

1. The volume of a cube with side a is determined by raising side a to the 3rd degree:

V = a ^ 3.

2. All parallel sides of the parallelepiped are equal, and there are only 12 edges in 3 dimensions. The total surface area of ​​a rectangular parallelepiped consists of the sum of the areas of all faces, which in turn are rectangles. The area of ​​any rectangle is equal to the product of its two adjacent sides. There are 6 faces in total, each face has a “pair”, that is, only 3 pairs of rectangles with different sides. So the area is equal to the sum of all different-sized faces, multiplied by 2:

S total = 2 * (a * b + b * c + c * a).



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