mathematics calculator
Volume Calculator
Calculate volume for common ideal solids with transparent formulas.
Volume Calculator
Result
Enter dimensions and calculate.
Formula version 1.0.0
How to use this calculator
- Choose the solid shape.
- Enter each displayed positive dimension in one unit.
- Select Calculate.
- Read the result in cubic units and inspect the formula steps.
Symbols and units
| Symbol | Meaning | Unit or domain |
|---|---|---|
l,w,h | Length, width, height | Length |
r | Radius | Length |
π | Circle constant | Unitless |
V | Volume | Cubic length |
Checked examples
Rectangular prism
Inputs: 2 by 3 by 4
Calculation: 2×3×4
Result: 24 cubic units
Product of three perpendicular dimensions.
Check: geometry-task86.test.ts
Cylinder
Inputs: Radius 2, height 5
Calculation: π×2²×5
Result: 20π cubic units
Circular base area times height.
Check: geometry-task86.test.ts
Assumptions, rounding, and limits
- Dimensions are positive and consistent.
- Results use cubic units.
- Solids are ideal.
- No intermediate rounding.
Frequently asked questions
Is a cone the same volume as a cylinder?
With equal base and height, a cone is one third of the cylinder.
Can units be mixed?
No. Convert dimensions first.
Is sphere input radius or diameter?
Radius.
Sources and review
- OpenStax: Formulas for common areas and volumes — Geometry applications
- Formula version
- volume.general@1.0.0
- Formula review
- Equatara formula review
- Editorial review
- Equatara editorial review
- Last verified
- 2026-10-25
- Applicability
- Global Euclidean geometry for ideal solids.
- Next review
- On material change or by 2028-10-25.
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Found a problem?
Report a formula, result, example, source, or accessibility issue through the calculator correction process. Do not include sensitive input values.