Like a cone, a pyramid holds one third of the prism with the same base and height.
How to use the Pyramid Volume Calculator
- Base length
- Base width
- Height
- Want to work backwards? Type a value into Volume and Height is calculated for you.
Results update as you type, and every field accepts the units shown in its menu.
How it works
Multiply base length by width, then by height, and divide by three. Slant heights come from Pythagoras.
Inputs explained
| Field | What to enter |
|---|---|
| Base length | Units: m, cm, mm, km, in, ft … |
| Base width | Units: m, cm, mm, km, in, ft … |
| Height | Units: m, cm, mm, km, in, ft … |
What each result means
- Volume = [Base length]×[Base width]×[Height]÷3
- Slant height (to length edge) = sqrt([Height]^2 + ([Base width]÷2)^2)
- Slant height (to width edge) = sqrt([Height]^2 + ([Base length]÷2)^2)
- Total surface area = [Base length]×[Base width] + [Base length]×[Slant height (to length edge)] + [Base width]×[Slant height (to width edge)]
Example values
How the main result changes when Height changes and everything else stays at the example values above:
| Height (m) | Volume (m³) |
|---|---|
| 2 | 24 |
| 3 | 36 |
| 4 | 48 |
| 5 | 60 |
| 6 | 72 |
| 8 | 96 |
Formula
V = ⅓ × base area × heightWorked example
Inputs — Base length: 6 m; Base width: 6 m; Height: 4 m.
Results — Volume = 48 m³; Slant height (to length edge) = 5 m; Slant height (to width edge) = 5 m; Total surface area = 96 m².
Frequently asked questions
How big is the Great Pyramid?
Its base is about 230 m square and it was originally about 147 m tall.
Does this work for triangular bases?
Use base area × height ÷ 3 with the triangle’s area.
What formula does the Pyramid Volume Calculator use?
V = ⅓ × base area × height.
Can I work backwards from the result?
Yes. Type the result you want into Volume and the calculator finds the matching height.