Enter your cube's side length and choose your preferred unit to calculate the volume, surface area, face diagonal, and space diagonal of a perfect cube. The Cube Calculator gives you all four key geometric properties at once — great for math homework, packaging, or engineering tasks. Also try the calculate Volume, Surface Area & Outer Radius (b = R + r) — Torus.
Volume
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Surface Area
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Face Diagonal
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Space Diagonal
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Perimeter (all edges)
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The volume of a cube is calculated as V = a³, where 'a' is the length of one side. For example, a cube with a side length of 5 cm has a volume of 125 cm³. See also our Circle Calculator.
A cube has 6 identical square faces, so the total surface area is SA = 6a², where 'a' is the side length. A cube with a 4 cm side has a surface area of 96 cm².
A face diagonal runs from one corner of a face to the opposite corner of the same face, calculated as a√2. A space diagonal passes through the interior of the cube from one corner to the opposite corner, calculated as a√3.
A cube has 6 faces, 12 edges, and 8 vertices. All faces are squares of equal size, and all edges are the same length — which is what makes it a perfect cube. You might also find our calculate Polygon useful.
You can use millimeters, centimeters, meters, inches, or feet. The output units for volume will be the cubic version of your chosen unit (e.g., cm³), and area outputs will be in square units (e.g., cm²).
A cube is a special case of a rectangular box where all three dimensions — length, width, and height — are exactly equal. If any two dimensions differ, it becomes a cuboid rather than a cube.
The total perimeter of a cube (sum of all 12 edges) is calculated as P = 12a, where 'a' is the side length. This is useful when estimating materials needed to frame or edge a cube-shaped structure.
Yes. The volume result tells you the cubic capacity of a cube-shaped box, which is useful for estimating shipping volume. For irregular boxes, use a cuboid or rectangular prism calculator instead.