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Numbers · geometry · cubeVolume of a cube — formula and calculator

Work out the volume of a cube with the formula V = a³ — your numbers substituted and a diagram drawn. The surface area is calculated too. Units can be mixed, and the answer comes in the units you need, litres included.

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01Calculator02Formula03Example04Mistakes05Nearby06Related
01

Calculator

enter the sizes — the formula and diagram follow

Cube

volume · surface
a = 3 cm
diagram · not to scale
Result
Volume
27cm³
= 0.000027 m³ = 0.027 L
Surface area
54cm²
= 0.0054 m²
How it was calculated
V = a³ = 3³ = 27 cm³
S = 6a² = 6 × 3² = 54 cm²
← Other shapes and the composite shape
02

Formula

and what each letter means
Volume
V = a³
Surface area
S = 6a²
Notation
a
edge of the cube
03

Worked example

with real numbers
Givena = 3 cm
Solution
V = a³ = 3³ = 27 cm³
S = 6a² = 6 × 3² = 54 cm²
Answer: volume — 27 cm³, surface area — 54 cm².
04

Common mistakes

The volume is the edge cubed, the surface is six squares. Double the edge and the volume grows eightfold.

Cubic units convert by the cube of the factor: 1 m³ is 1000 dm³, that is 1000 litres.

05

Nearby shapes

Rectangular boxV = a × b × cSquareS = a²PrismV = S₀ × hCalculatorAll 19 shapes, the composite shape and hectares →
м · км

Length converter

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кг · г

Weight converter

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%

Percent and VAT

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2·8·16

Number bases

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