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Math

Cube Calculator

Instantly find volume, surface area, and diagonal of any cube

Enter Side Length

Results

Volume125cm³s³ = (5
Volume125 cm³
Surface Area150 cm²
Face Area (one face)25 cm²
Space Diagonal8.660254 cm
Face Diagonal7.071068 cm
Perimeter (all 12 edges)60 cm

Cube Formulas

Volume
V = s³
Cube of the side length
Surface Area
SA = 6s²
Six equal square faces
Face Area
A = s²
Area of one square face
Space Diagonal
d = s√3
Longest diagonal, corner to corner
Face Diagonal
fd = s√2
Diagonal across one face
Perimeter
P = 12s
Total length of all 12 edges
About

Our free cube calculator computes volume, surface area, space diagonal, face diagonal, face area, and total edge perimeter from a single side length. Whether you're solving a geometry problem, estimating material quantities, or packing boxes, just enter the side length and choose your unit — results appear instantly with the full formula reference below.

FAQ
How do you calculate the volume of a cube?+

Multiply the side length by itself three times: V = s³. For example, a cube with a 5 cm side has a volume of 125 cm³.

What is the surface area of a cube?+

A cube has 6 identical square faces, so the total surface area is SA = 6s². A 5 cm cube has a surface area of 150 cm².

What is the space diagonal of a cube?+

The space diagonal runs from one corner to the opposite corner through the interior of the cube. Its length is d = s√3 (approximately 1.732 × s).

What is the difference between the space diagonal and the face diagonal?+

The face diagonal crosses one square face (fd = s√2 ≈ 1.414 × s), while the space diagonal passes through the cube's interior connecting two opposite vertices (d = s√3 ≈ 1.732 × s).

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