Skip to main content

All Calculators & Converters

All calculators

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

1. Intro to General Chemistry

Density of Geometric Objects

1. Intro to General Chemistry

Dimensional Analysis

1. Intro to General Chemistry

1. Intro to General Chemistry

Metric Prefixes

1. Intro to General Chemistry

Electron Geometry

12. Molecular Shapes & Valence Bond Theory

Molecular Geometry

12. Molecular Shapes & Valence Bond Theory

Atomic, Ionic, and Molecular Solids

13. Liquids, Solids & Intermolecular Forces

Crystalline Solids

13. Liquids, Solids & Intermolecular Forces

Coordination Numbers & Geometry

24. Transition Metals and Coordination Compounds

Constant-Volume Calorimetry

8. Thermochemistry

1. Intro to General Chemistry - Part 1 of 3

7 topics 12 problems

1. Intro to General Chemistry - Part 2 of 3

5 topics 11 problems

1. Intro to General Chemistry - Part 3 of 3

5 topics 11 problems

12. Molecular Shapes & Valence Bond Theory - Part 1 of 2

5 topics 11 problems

12. Molecular Shapes & Valence Bond Theory - Part 2 of 2

5 topics 11 problems

13. Liquids, Solids & Intermolecular Forces - Part 1 of 3

4 topics 11 problems

13. Liquids, Solids & Intermolecular Forces - Part 2 of 3

5 topics 11 problems

13. Liquids, Solids & Intermolecular Forces - Part 3 of 3

4 topics 11 problems

24. Transition Metals and Coordination Compounds - Part 1 of 3

8 topics 14 problems

24. Transition Metals and Coordination Compounds - Part 2 of 3

7 topics 13 problems

24. Transition Metals and Coordination Compounds - Part 3 of 3

6 topics 13 problems

7. Gases - Part 1 of 4

5 topics 14 problems

7. Gases - Part 2 of 4

5 topics 13 problems

7. Gases - Part 3 of 4

5 topics 13 problems

7. Gases - Part 4 of 4

5 topics 13 problems

8. Thermochemistry - Part 1 of 3

5 topics 13 problems

8. Thermochemistry - Part 2 of 3

5 topics 13 problems

8. Thermochemistry - Part 3 of 3

5 topics 13 problems

Molecular Geometry

1. A Review of General Chemistry

1. A Review of General Chemistry - Part 1 of 3

7 topics 14 problems

1. A Review of General Chemistry - Part 2 of 3

5 topics 13 problems

1. A Review of General Chemistry - Part 3 of 3

6 topics 13 problems

Dimensional Analysis

1. Intro to Physics Units

Unit Conversions

1. Intro to Physics Units

Introduction to Units

1. Intro to Physics Units

Volume Thermal Expansion

20. Heat and Temperature

1. Intro to Physics Units

6 topics 14 problems

20. Heat and Temperature - Part 1 of 2

5 topics 12 problems

20. Heat and Temperature - Part 2 of 2

4 topics 11 problems

Geometric Sequences

9. Sequences, Series, & Induction

9. Sequences, Series, & Induction

3 topics 6 problems

Depreciation: Units-of-Activity

8. Long Lived Assets

8. Long Lived Assets

14 topics 15 problems

Geometric Vectors

Geometric Sequences

20. Sequences, Series & Induction

5 topics 9 problems

20. Sequences, Series & Induction

3 topics 6 problems

5. Binomial Distribution & Discrete Random Variables

2 topics 6 problems

Density of Geometric Objects

1. Matter and Measurements

Density of Non-Geometric Objects

1. Matter and Measurements

Dimensional Analysis

1. Matter and Measurements

Metric Prefixes

1. Matter and Measurements

SI Units (Simplified)

1. Matter and Measurements

Writing Formula Units of Ionic Compounds

3. Ionic Compounds

Electron Geometry (Simplified)

4. Molecular Compounds

Molecular Geometry (Simplified)

4. Molecular Compounds

Atomic, Ionic and Molecular Solids

8. Gases, Liquids and Solids

8. Gases, Liquids and Solids

1. Matter and Measurements - Part 1 of 3

7 topics 15 problems

1. Matter and Measurements - Part 2 of 3

7 topics 15 problems

1. Matter and Measurements - Part 3 of 3

7 topics 15 problems

3. Ionic Compounds - Part 1 of 2

5 topics 9 problems

3. Ionic Compounds - Part 2 of 2

6 topics 9 problems

4. Molecular Compounds - Part 1 of 2

8 topics 13 problems

4. Molecular Compounds - Part 2 of 2

8 topics 12 problems

8. Gases, Liquids and Solids - Part 1 of 2

8 topics 15 problems

8. Gases, Liquids and Solids - Part 2 of 2

7 topics 15 problems

Molecular Geometry (Simplified)

10. Chemical Bonding

Electron Geometry (Simplified)

10. Chemical Bonding

Atomic, Ionic and Molecular Solids

12. Liquids, Solids, and Intermolecular Forces

Dimensional Analysis

2. Measurement and Problem Solving

Density of Non-Geometric Objects

2. Measurement and Problem Solving

SI Units (Simplified)

2. Measurement and Problem Solving

Metric Prefixes

2. Measurement and Problem Solving

Writing Formula Units of Ionic Compounds

5. Molecules and Compounds

10. Chemical Bonding - Part 1 of 2

12 topics 35 problems

10. Chemical Bonding - Part 2 of 2

4 topics 12 problems

10 topics 30 problems

12. Liquids, Solids, and Intermolecular Forces

4 topics 12 problems

2. Measurement and Problem Solving

10 topics 30 problems

5. Molecules and Compounds

11 topics 33 problems

Types of Solid Culture Media

10. Dynamics of Microbial Growth

10. Dynamics of Microbial Growth - Part 1 of 3

6 topics 13 problems

10. Dynamics of Microbial Growth - Part 2 of 3

9 topics 12 problems

10. Dynamics of Microbial Growth - Part 3 of 3

11 topics 12 problems

1. Chemical Measurements

Metric Prefixes

1. Chemical Measurements

Volumetric Analysis

1. Chemical Measurements

Volumetric Titrations

1. Chemical Measurements

Volumetric Instruments

2. Tools of the Trade

1. Chemical Measurements - Part 1 of 2

4 topics 12 problems

1. Chemical Measurements - Part 2 of 2

1 topic 3 problems

2. Tools of the Trade - Part 1 of 2

4 topics 11 problems

2. Tools of the Trade - Part 2 of 2

1 topic 3 problems

Geometric Vectors

4 topics 10 problems

Rate Constant Units

6. Enzymes and Enzyme Kinetics

6. Enzymes and Enzyme Kinetics - Part 1 of 6

5 topics 15 problems

6. Enzymes and Enzyme Kinetics - Part 2 of 6

5 topics 14 problems

6. Enzymes and Enzyme Kinetics - Part 3 of 6

5 topics 14 problems

6. Enzymes and Enzyme Kinetics - Part 4 of 6

6 topics 14 problems

6. Enzymes and Enzyme Kinetics - Part 5 of 6

5 topics 14 problems

6. Enzymes and Enzyme Kinetics - Part 6 of 6

5 topics 14 problems