Math

Prism Volume Calculator

Volume and surface area for rectangular and triangular prisms.

Enter your values

ⓘ Live results

Results
Volume
120 cubic units
Cross-section area
12 sq units
If units are feet
4.4444 cubic yards
If units are inches
0.519 US gallons
If units are cm
0.12 litres
Prism length
10

Quick answer

Every prism's volume is the cross-section area multiplied by its length: V = A × L, no matter the shape of the end face.

V = cross-section area × length

How to use the Prism Volume Calculator

  1. 1Choose the shape of the end face.
  2. 2Enter its dimensions, then the length of the prism.
  3. 3Read the volume plus the handy unit conversions underneath.

Worked example

Using the values the calculator loads with:

Inputs

  • Cross-sectionRectangle
  • Width / base4 units
  • Height of the cross-section3 units
  • Second parallel side (trapezoid only)6 units
  • Prism length10 units

Results

  • Volume120 cubic units
  • Cross-section area12 sq units
  • If units are feet4.4444 cubic yards
  • If units are inches0.519 US gallons
  • If units are cm0.12 litres
  • Prism length10

Frequently asked questions

Does the prism have to be upright?

No. As long as the cross-section is constant along the length, the formula holds however it leans.

What about a cylinder?

A cylinder is a prism with a circular cross-section — use πr² as the area.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.