Calculating your volume is straightforward once you know the Pyramid Frustum Volume formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Pyramid Frustum Volume Calculator.
What is Pyramid Frustum Volume?
The Pyramid Frustum Volume calculation tells you your volume from a few simple inputs. The figure you are solving for here is the volume.
The Pyramid Frustum Volume formula
The core formula is:
Volume = Height ÷ 3 × (Bottom base edge (a) ^ 2 + Bottom base edge (a) × Top base edge (b) + Top base edge (b) ^ 2)Here is what each input means:
- Bottom base edge (a) — a value measured in units. Example: 6 units.
- Top base edge (b) — a value measured in units. Example: 3 units.
- Height — a value measured in units. Example: 10 units.
How to calculate it step by step
- Write down the bottom base edge (a) (for example, 6 units).
- Write down the top base edge (b) (for example, 3 units).
- Write down the height (for example, 10 units).
- Apply the formula above to get your volume.
- Double-check the result with the Pyramid Frustum Volume Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Bottom base edge (a) | 6 units |
| Top base edge (b) | 3 units |
| Height | 10 units |
| Volume | 210.0000 |
With bottom base edge (a) of 6 units, top base edge (b) of 3 units and height of 10 units, the volume works out to 210.0000.
Example 2
With bottom base edge (a) of 12 units, top base edge (b) of 3 units and height of 10 units, the volume works out to 630.0000.
| Result | Value |
|---|---|
| Volume | 630.0000 |
Example 3
With bottom base edge (a) of 3 units, top base edge (b) of 3 units and height of 10 units, the volume works out to 90.0000.
| Result | Value |
|---|---|
| Volume | 90.0000 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Pyramid Frustum Volume Calculator does it instantly, for free, with the formula and a worked example built in.
Related calculators
Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.