Cube Calculator
Calculate the volume and surface area of a cube from its edge length.
About this calculator
A cube is the simplest of the Platonic solids to measure because a single edge length determines every other dimension: all twelve edges are equal, all six faces are congruent squares, and all eight corners meet at right angles. Volume follows directly as edge length cubed (V = e³), since a cube is literally e layers of an e-by-e square stacked to a depth of e. Surface area comes from adding up all six identical square faces, each with area e², giving SA = 6e².
Because volume scales with the cube of edge length while surface area scales with only the square, small cubes have proportionally far more surface area relative to their volume than large ones — doubling a cube's edge multiplies its volume by eight but its surface area by only four, a relationship known as the square-cube law that shows up everywhere from ice cube melt rates to why large animals need proportionally less skin per pound of body mass than small ones. This calculator assumes a perfectly regular cube; if your object's faces are actually rectangular rather than square (a shoebox rather than a die), use a rectangular-prism or box calculator instead, since a cube-specific formula will silently give the wrong answer if width, height, and depth aren't truly identical.
Inputs
Results
Volume
27
How to Use This Calculator
- Enter the cube's edge length — all six faces are equal squares, so one measurement is all this calculator needs.
- Read the volume, the space enclosed by the cube (edge length cubed).
- Read the surface area, the combined area of all six faces (six times the edge length squared).
- Use the same length unit throughout — the outputs are in that unit's cubic and square forms respectively.
How the result changes with Edge length
| Edge length | Volume |
|---|---|
| 1.5 | 3.375 |
| 2.25 | 11.3906 |
| 4.5 | 91.125 |
| 7.5 | 421.875 |
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a cube only need one measurement when a box needs three?
A cube is defined by having all edges equal length, so specifying one edge fully determines its shape — every other edge, face, and diagonal follows from that single number by fixed geometric ratios. A general rectangular box has independent length, width, and height, so it needs all three measurements before its volume or surface area can be computed.
If I double the edge length, how much more volume and surface area do I get?
Doubling the edge length multiplies volume by eight (2³) but multiplies surface area by only four (2²), because volume depends on the cube of the edge while surface area depends on its square. This mismatch is why a large cube-shaped object holds proportionally far more relative to its outer surface than a small one of the same shape.
Can I use this calculator for a rectangular box instead of a true cube?
No — this calculator's formulas assume all edges are identical, so entering just one length and treating it as a stand-in for width, height, and depth will misrepresent any object where those three dimensions actually differ. For a box with unequal sides, a rectangular-prism calculator that takes length, width, and height separately will give the correct volume and surface area.
What real-world quantities does the surface area actually correspond to?
Surface area is the total material needed to wrap, paint, or plate every face of the cube — six equal squares' worth of area. For a storage cube or a cube-shaped container, that number tells you how much cardboard, fabric, or coating you'd need to cover the whole exterior, as opposed to volume, which tells you how much the cube can hold inside.
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