When to use this calculator
The formula works for any pyramid base shape when the area of that base is known.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Rectangular Pyramid Surface Area Calculator: Find the base and triangular-face areas of a centred rectangular pyramid.
PUTTING IT INTO PRACTICE
Pyramid Volume: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Base area | 24 |
| Perpendicular height | 9 |
| Result | 72 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = base area × height ÷ 3.
- The result is 72 cubic units, rounded for display.
How to interpret your result
Use perpendicular height, not the sloping edge or face height.
Volume and surface area have different units and answer different questions. Use internal dimensions for capacity. A closed-solid surface area includes bases and lids unless the calculator explicitly describes an open shape.
Frequently asked questions
Should I use internal or outside measurements?
Use internal measurements for capacity and outside measurements for covering the exterior. Match the formula to the part being measured.
When is the pyramid volume calculator useful?
The formula works for any pyramid base shape when the area of that base is known.
How do I use the pyramid volume calculator?
Enter base area, perpendicular height. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = base area × height ÷ 3.
What should I check before using the result?
Use perpendicular height, not the sloping edge or face height.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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