# Cube Calculator

Step-by-Step Solution:

Cube Result:

A cube is a three-dimensional geometric shape with six identical square faces. It is one of the five Platonic solids, regular polyhedra with congruent faces. Cubes are commonly used in mathematics, physics, and engineering due to their simple structure and well-defined properties.

## Formulae

Several formulae can be used to calculate the volume, surface area, and diagonal length of a cube.

• Volume: The volume of a cube is calculated using the following formula:
``````V = a³
``````

where:

• V is the volume of the cube
• a is the length of one of the side edges of the cube

For example, the volume of a cube with a side edge length of 5 inches is:

``````V = 5 inches³ = 125 cubic inches
``````
• Surface area: The surface area of a cube is calculated using the following formula:
``````A = 6a²
``````

where:

• A is the surface area of the cube
• a is the length of one of the side edges of the cube

For example, the surface area of a cube with a side edge length of 5 inches is:

``````A = 6 × 5 inches² = 150 square inches
``````
• Diagonal length: The diagonal length of a cube is calculated using the following formula:
``````d = a√3
``````

where:

• d is the diagonal length of the cube
• a is the length of one of the side edges of the cube

For example, the diagonal length of a cube with a side edge length of 5 inches is:

``````d = 5 inches√3 = 8.66 inches
``````

## Benefits

There are several benefits to using a cube calculator:

• Accuracy: Cube calculators are very accurate. They can calculate a cube’s volume, surface area, and diagonal length with a high degree of precision.
• Convenience: Cube calculators are very convenient to use. They are available online and can be used anywhere with an internet connection.
• Speed: Cube calculators can perform calculations very quickly. This can be helpful for students, engineers, and other professionals who need to calculate the volume, surface area, and diagonal length of a cube regularly.

## Interesting facts

Here are some interesting facts about cubes:

• A cube is the only regular polyhedron that can be dissected into six identical tetrahedra.
• The cube is one of the most symmetrical shapes in three-dimensional space.
• Cubes are used in a variety of applications, including:

Dice Building blocks Packaging Electrical components

## References 