Prism Volume Calculator
A prism has a constant cross-section, so its volume equals the area of one base multiplied by the perpendicular height.
How to use this calculator
- Enter the area of one base and the perpendicular distance between the bases.
- Check the labels and units before using a result outside this page.
- Change one input at a time if you want to compare scenarios.
Formula and method
V = base area × perpendicular height
- V = base area × perpendicular height
- The base area must use square units compatible with the height length unit.
Worked examples
Worked example
Base area 12 cm² and prism height 7 cm.
V = 12 × 7 = 84 cm³.
V = 12 × 7 = 84 cm³.
Understanding the result
A prism has a constant cross-section, so its volume equals the area of one base multiplied by the perpendicular height.
The base area must use square units compatible with the height length unit.
Important notes
The base area must use square units compatible with the height length unit.
Displayed outputs are rounded for readability; preserve full precision when continuing a calculation.
Frequently asked questions
What does this prism volume calculator show?
A prism has a constant cross-section, so its volume equals the area of one base multiplied by the perpendicular height.
Which inputs should I check first?
Enter the area of one base and the perpendicular distance between the bases.
Can the result be used as a final professional specification?
The base area must use square units compatible with the height length unit.
Related calculators
- Pyramid Volume Calculator — Calculate pyramid volume from the base area and perpendicular height.
- Area Calculator — Calculate the area of a rectangle, circle, or triangle.
- Volume Calculator — Calculate the volume of a rectangular box, cylinder, or sphere.
- Annulus Area Calculator — Calculate the area between two concentric circles from the outer and inner radii.
- Cone Volume Calculator — Calculate the volume and surface area of a cone.
- Cube Volume Calculator — Calculate the volume and surface area of a cube.
Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
- How to Calculate a Z-Score — Learn how a z-score shows how far a value is from the mean in standard-deviation units.
- How to Calculate Salary from an Hourly Rate — Convert hourly pay into weekly, monthly, and annual estimates and understand the assumptions behind the result.
- Density — Understand density, mass, volume, and the basic density formula used in science and measurement.
This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.