Pyramid Volume Calculator
Multiply the base area by the height and divide by three. Any pyramid or cone is one third of the prism with the same base and height.
Your numbers
Volume
500cm³
Area
100cm²
Formula
Volume = Length × Width × Height ÷ 3
Height is the perpendicular drop from apex to base, not the length of a slanted edge.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Length (cm)The measurement across, side to side. | 10 | 0 and up |
| Width (cm)The measurement front to back. | 10 | 0 and up |
| Height (cm)The perpendicular height from the base — not the slanted side. | 15 | 0 and up |
Step by step
Quick reference table
Results when only Length (cm) changes and everything else stays put.
| Length (cm) | Volume (cm³) | Area (cm²) |
|---|---|---|
| 5 | 250 | 50 |
| 7.5 | 375 | 75 |
| 10 | 500 | 100 |
| 15 | 750 | 150 |
| 20 | 1,000 | 200 |
What each result means
| Result | At default values |
|---|---|
| Volume (cm³)The space a solid holds — length cubed. | 500 |
| Area (cm²)The space a shape covers — length squared. | 100 |
Common mistakes
Height is the perpendicular drop from apex to base, not the length of a slanted edge.
Glossary
- Length
- The measurement across, side to side.
- Width
- The measurement front to back.
- Height
- The perpendicular height from the base — not the slanted side.
- Volume
- The space a solid holds — length cubed.
- Area
- The space a shape covers — length squared.
Frequently asked questions
Q. How is Pyramid Volume Calculator calculated?
Volume = Length × Width × Height ÷ 3 — Multiply the base area by the height and divide by three. Any pyramid or cone is one third of the prism with the same base and height.
Q. Can you walk through an example?
With Length 10cm, Width 10cm, Height 15cm, the answer is Volume 500cm³.
Q. What do I need to enter?
Enter Length, Width, Height. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Length (cm) moves the answer to Length (cm) 5 → Volume (cm³) 250 and Length (cm) 20 → Volume (cm³) 1,000. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Height is the perpendicular drop from apex to base, not the length of a slanted edge.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.