Pyramid Volume Calculator
Volume, base area and slant height of a rectangular-based pyramid.
Results
Volume
32.0000
m³
Area
16.000
m²
Length
6.3246
m
What this tool does
A pyramid holds exactly one third of the box that would enclose it, the same relationship a cone has with its cylinder. The slant height is given because that is the face length you need when cutting sheet material for a hopper or a roof.
Formula
V = (1/3) × c × l × h
Variables
| Symbol | Meaning | Unit |
|---|---|---|
l | Length | m |
w | Width | m |
h | Height | m |
V | Volume | m³ |
B | Area | m² |
S | Length | m |
Worked example
- Length4 m
- Width4 m
- Height6 m
- Volume32.0000 m³
- Area16.000 m²
- Length6.3246 m
Limitations
- Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.