Math Calculators

Cube Calculator is a tool used to determine the volume, surface area and diagonal of a cube, given the length of its side.
Q: What can a cube calculator help you find?
A: A cube calculator can help you find various parameters of a cube. By inputting one known parameter out of five options - cube volume, cube surface area, face diagonal, cube diagonal, or cube side - the calculator will quickly provide you with the remaining parameters.

Q: What is a cube?
A: A cube is a three-dimensional solid object that is bounded by six square faces, with three faces meeting at each vertex. It is a regular square prism in three orientations and has 6 faces, 12 edges, and 8 vertices.

Q: How do you calculate the surface area of a cube?
A: The formula for the surface area of a cube is straightforward. It is calculated by multiplying the area of one face by 6, as all faces of a cube are identical squares. The equation becomes: surface_area = 6 × a², where "a" represents the length of one edge.

Q: What is the formula for calculating the volume of a cube?
A: The formula for calculating the volume of a cube is quite simple. It involves raising the length of one edge to the power of 3. So, the equation is: volume = a³.

Q: How do you find the diagonals of a cube?
A: To find the face diagonal of a cube, you can apply the formula derived from the Pythagorean theorem: face diagonal = a√2, where "a" represents the length of one edge. For the cube diagonal, you use the Pythagorean theorem again: cube diagonal = a√3. This means the diagonal of a cube is equal to the length of one edge multiplied by the square root of 3.

Q: How can you use a cube calculator to find the volume of a cube?
A: To find the volume of a cube using the calculator, input the known value, such as the length of one edge. The calculator will then provide the remaining parameters. For example, if a standard Rubik's Cube measures 5.7 centimeters (2 1/4 inches) on each side, the calculator quickly shows that the volume is 11.4 cubic inches, the surface area is 30.4 square inches, the cube diagonal is 3.9 inches, and the face diagonal is 3.18 inches.