Pyramid Frustum Volume Table: Volume by Bottom base edge (a)
Reference table of volume for Pyramid Frustum Volume across a range of bottom base edge (a) values — exact, engine-computed figures you can read off at a glance.
Pyramid Frustum Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
210.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Pyramid Frustum Volume Calculator
The Pyramid Frustum Volume Calculator works out your volume in an instant. Enter bottom base edge (a), top base edge (b) and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the bottom base edge (a).
- Enter the top base edge (b).
- Enter the height.
- Read off your volume — the calculator updates automatically, with no button to press.
Formula
The Pyramid Frustum Volume Calculator uses the formula:
Volume = Height ÷ 3 × (Bottom base edge (a) ^ 2 + Bottom base edge (a) × Top base edge (b) + Top base edge (b) ^ 2)
Worked example
For example, with bottom base edge (a) of 6 units, top base edge (b) of 3 units and height of 10 units, the volume is 210.0000.
| Bottom base edge (a) | 6 units |
|---|---|
| Top base edge (b) | 3 units |
| Height | 10 units |
| Volume | 210.0000 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Volume
- The amount of three-dimensional space an object occupies, measured in cubic units.
Frequently asked questions
Use V = h⁄3 × (a² + ab + b²) for a square frustum. With a = 6, b = 3 and height 10, the volume is 210 cubic units.
It is a pyramid with the top sliced off parallel to the base, leaving two square faces of different sizes.
This formula is for square bases. Other shapes use the general frustum formula with their own base areas.
It becomes a full pyramid and the formula reduces to ⅓ × base² × height.
The Pyramid Frustum Volume Calculator uses the formula: Volume = Height ÷ 3 × (Bottom base edge (a) ^ 2 + Bottom base edge (a) × Top base edge (b) + Top base edge (b) ^ 2). For example, with bottom base edge (a) of 6 units, top base edge (b) of 3 units and height of 10 units, the volume is 210.0000.
Enter the bottom base edge (a). Enter the top base edge (b). Enter the height. Read off your volume — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Pyramid Frustum Volume: Formula, Steps & Examples
Learn how to calculate Pyramid Frustum Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.