Pyramid Volume Calculator
Use our Pyramid Volume Calculator to easily find the volume of any pyramid. This tool is ideal for students, engineers, and anyone interested in geometry. Simply enter the base area and height of the pyramid to get started.
Calculator
Data Source and Methodology
All calculations are based on the standard geometric formula for the volume of a pyramid. For more details, refer to authoritative mathematical resources.
The Formula Explained
The volume of a pyramid is calculated using the formula:
\( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \)
Glossary of Variables
- Base Area (m2): The area of the base of the pyramid.
- Height (m): The perpendicular height from the base to the apex.
- Volume (m3): The total space enclosed by the pyramid.
Example Calculation
For a pyramid with a base area of 9 m2 and a height of 4 m, the volume is calculated as follows:
\( V = \frac{1}{3} \times 9 \times 4 = 12 \, \text{m}^3 \)
Frequently Asked Questions (FAQ)
What is the formula for the volume of a pyramid?
The formula is \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \).
Can this calculator be used for any pyramid?
Yes, as long as you have the base area and the height.
Is the base area always a square?
No, the base can be any polygon. Ensure the correct area is calculated.
How do I find the base area?
The base area can be calculated based on the shape of the base. For a square base, it is side × side.
What units are used in the calculator?
The calculator uses meters (m) for input and output by default.