Square pyramid Volume Calculator
Any pyramid holds one third of the prism with the same base and height — the same ⅓ that appears for cones. For a non-square base use V = ⅓ × base area × h.
V = ⅓ b²h
Volume of the square pyramid
48ft³
- Surface area
- 96 ft²
- V = ⅓ × 6² × 4 = 48 ft³
- Slant height = √(3² + 4²) = 5 ft
Volume in other units
| m³ | 1.3592 |
| liters | 1,359.21 |
| ft³ | 48 |
| yd³ | 1.7778 |
| in³ | 82,944 |
| US gallons | 359.065 |
| cm³ (mL) | 1,359,210 |
How to find the volume of a square pyramid
Volume: V = ⅓ b²h. Surface area: SA = b² + 2b√((b/2)² + h²).
- Measure in one unit. The answer comes out in that unit cubed (ft³, m³).
- Substitute into the formula; the calculator shows the steps with your numbers.
- Read liters, gallons, cubic yards and more in the conversion table. 1 ft³ ≈ 7.48 US gallons ≈ 28.32 liters.
Three cones fill one cylinder
Take a cone and a cylinder with the same round base and the same height. Pour the cone full of water into the cylinder three times and it's full — which is why the cone formula is ⅓ πr²h. The same ⅓ links a pyramid to the box around it.
Cylinder is ⅓ full
Questions people ask
How big is the Great Pyramid of Giza?
Originally about 230.3 m on each side and 146.6 m tall, giving roughly 2.6 million m³.
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