Prism Volume Calculator
General prism: Volume = Base Area × Height
The Simplest Volume Rule There Is
A prism is any solid with two identical, parallel end faces connected by flat sides — a triangular prism, a hexagonal prism, even a rectangular box all count. Whatever shape the base is, the volume rule stays the same: base area times how far that shape is extended.
The Formula
Volume = Base Area × Height
Worked Example
For a prism with a base area of 15 and a height of 7:
| Base Area | Height | Volume |
|---|---|---|
| 15 | 7 | 105 |
Because this formula takes base area directly, it works for any prism cross-section — triangle, pentagon, hexagon, or an irregular shape — as long as that area is calculated first.
Where This Matters
- Beam and structural volume — a steel or timber beam with a constant cross-section is a prism, and its volume sets its weight.
- Extruded manufacturing — parts made by extrusion (aluminum profiles, plastic channels) keep a constant cross-section along their length.
- Excavation volumes — a trench of constant cross-sectional area and known length is a prism.
How to Use This Calculator
- Enter the Base Area of the prism's cross-section.
- Enter the prism's Height (its length in the extruded direction).
- Select Calculate to get the volume.
Related Calculations
For a triangular cross-section specifically, the Triangular Prism Volume Calculator computes the base area for you, or find a rectangular box's volume with the Rectangular Prism Volume Calculator.