A cube is a geometric solid with six faces of identical size and twelve sides of equal length. The volume is calculated using the formula ^{a3} = a * a * a = V. The lateral surface is calculated as 4 * ^{a2} = M. The formula for the surface area is 6 * ^{a2} = O.

The lateral surface is the surface area of the cube excluding the base and top surfaces.

The six faces of the cube all have an identical side length a.

Example calculation: 4 * ^{5cm2} = ^{100cm2} The surface area is ^{100cm2}.

Surface area of a cube

Formula: 6 * ^{a2} = O

Base area = ^{a2} Top surface = ^{a2}

The six faces of the cube all have an identical side length a.

Example calculation: 6 * ^{5cm2} = ^{150cm2} The surface area is ^{150cm2}.

Volume of a cube

Formula: ^{a3} = a * a * a = V

Example calculation:^{5cm3} = ^{125cm3} The volume is ^{125cm3}.

Calculation of a cube

The calculation of a cube refers to the determination of its volume, surface area and edge length. A cube is a three-dimensional geometric object with six equally sized square faces. Here are the basic formulas for calculating a cube:

1. volume: the volume of a cube is calculated by multiplying the edge length by itself three times. The formula for the volume (V) of a cube is therefore V = a³, where "a" is the edge length of the cube.

2. surface area: The surface area of a cube is calculated by adding the area of one of the squares (the side area of the cube) six times, as a cube has six equal sides. The formula for the surface area (A) of a cube is therefore A = 6a².

3. edge length: If you know the volume or the surface area of a cube and want to calculate the edge length, you can rearrange the corresponding formula. If you know the volume, the edge length is equal to the cube root of the volume (a = ∛V). If you know the surface area, the edge length is equal to the square root of the sixth of the surface area (a = √(A/6)).

These calculations are fundamental in geometry and are often used in many fields such as mathematics, physics, engineering and architecture.