Cube Area and volume Calculator

Online Cube Area and volume Calculator: Calculate the volume and area of a Cube based on its edge. Enter the edge value in the form and press the CALCULATE button.

Table of contents:

What is a cube?

The cube is a prism of Euclidean geometry. It has the particularity of having six square faces, equal and superimposable, giving it twelve edges and eight vertices. The cube can also take the name of a regular hexahedron. Calculate the volume of a cube using a simple mathematical formula. You can choose to use our online tool above to easily and instantly calculate the volume and the area of any cube whose edge length you know.

Calculate area and surface of a cube

The area of the cube is expressed in the unit of measure of side length c squared. Example: if the length c is expressed in centimeters (cm), then the area of the cube will be expressed in cm².

Principle of calculating the area of a cube A cube has 6 sides (like a dice to throw). Each of these faces is a square whose area is equal to c² (formula for calculating the area of a square).

The area A of a cube of which c is the measure of the sides is therefore equal to:

A = 6c²

Calculate the volume of the cube

To determine its volume, we must rely on the dimensions of its base as well as its height. In the case of the cube, these measurements are the same. Thus, we can deduce the following formula:

the volume of the cube = c3 where c = measure of an edge.

the volume of the cube is expressed in the unit of measure of side length c cubed. Example: if the length c is expressed in centimeters (cm), the volume of the cube will then be expressed in cm³.

In this way, we can calculate the space occupied by a cube, regardless of the situation.

Calculate the diagonal length of a cube

The length D of the diagonal of a cube whose length on one side is equal to c is calculated from the following formula:

D = c.√3

the cube being symmetrical, the diagonals of a cube are all the same length.

The lateral area of the cube

Since the four side faces are isometric squares, it is enough to calculate the area of one of them and multiply it by four to obtain the desired result.

AL = 4.c2 where c = measure of an edge

Cube and square

What is interesting when comparing these two formulas is to note the analogy with the number of dimensions of the shape. Indeed, the human eye sees in three dimensions, and the world around us is also in three dimensions. However, some elements of our environment are two-dimensional. For example the square is a two-dimensional shape: it is formed by its height and its width. To be three-dimensional, it lacks depth. And it is precisely this depth with which the cube is endowed. It happens to be in three dimensions: width + height + depth.

Well, now that we have analyzed the perspective of these two figures, let's see the correlation with the content of the formulas. The area of ​​the square is obtained by squaring the length of its side. The square is defined as the number multiplied by itself. It is in the form n². The exponent is 2, as is the number of shape dimensions (width + height).

As for the cube, the calculation of its volume is the length of the edge cubed. Cubed means that the number is multiplied twice by itself, and is in the form n³. There, we note that the exponent is three, just like number the number of dimensions of the shape (width + height + depth).