Cube Volume Calculator

Enter a cube’s edge length — or a diagonal — to get its volume instantly, with clear steps. Choose your input and output units (cm³, m³, in³, ft³, L, mL).

Background

The volume of a cube is V = a³ where a is the edge length. If you only know a diagonal, use d = a√2 (face) or D = a√3 (space) to find a first.

Enter values to calculate cube volume:

What is given?

Edge length (a)

Face diagonal (d = a√2)

Space diagonal (D = a√3)

Edge Length:

Length Unit:

Output Volume Unit:

Result:

No results yet. Enter the value and pick units.

How to use the cube volume calculator

1) Choose what’s given: edge, face diagonal, or space diagonal.
2) Enter the value and select the length unit.
3) Pick your output unit (cm³, m³, in³, ft³, L, mL).
4) Click Calculate Volume to see the step-by-step solution.

Key Points

Volume formula: V = a³.
Face diagonal: d = a√2 → a = d/√2. Space diagonal: D = a√3 → a = D/√3.
1 m³ = 1000 L and 1 L = 1000 mL = 1000 cm³.

Formula & Equation Used

For a cube:

V = a^{3}

If you know a diagonal:

d = a \sqrt 2 \to a = \frac{d}{\sqrt{2}}

D = a \sqrt 3 \to a = \frac{D}{\sqrt{3}}

Example Problems & Step-by-Step Solutions

Example 1 (Edge given):

Edge = 5.0 cm → V in cm³

V = a³
V = (5.0 cm)³ = 125 cm³
Answer: 125 cm³

Example 2 (Face diagonal given):

d = 10.0 cm → V in L

a = d/√2 = 10.0/√2 = 7.071 cm
V = a³ = (7.071 cm)³ = 353.6 cm³
1 L = 1000 cm³ → V = 0.3536 L ≈ 0.354 L

Example 3 (Space diagonal given):

D = 0.5 m → V in m³

a = D/√3 = 0.5/√3 = 0.288675 m
V = a³ = 0.0241 m³
Answer: 0.0241 m³

Frequently Asked Questions

Q: Can I enter a diagonal instead of an edge?

Yes — choose “Face diagonal” or “Space diagonal.” The calculator finds the edge first, then computes volume.

Q: Can I get the volume in liters or milliliters?

Yes — select L or mL in the output menu (1 m³ = 1000 L and 1 L = 1000 mL = 1000 cm³).

Density of Non-Geometric Objects