Pyramid Volume Calculator
Calculate pyramid volume from base area and vertical height
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Pyramid Volume Formula
V = (1 / 3)Bh
A pyramid volume is one third of a prism with the same base area and height. The formula uses base area first, then multiplies by vertical height.
⚠ Base area and vertical height must be positive. Do not enter slant height as the height value for volume.
How Pyramid Volume Works
A pyramid narrows from a base to one apex. Compared with a prism of the same base and height, the pyramid occupies one third of the volume.
Base Area
B is the area of the bottom face.
Vertical Height
Height is measured straight up from the base.
One Third Factor
The taper creates the 1/3 multiplier.
Any Base Shape
The formula works for square, rectangular, and other bases.
💡 Example: For base area B=48 and height h=9, V=(1/3)(48)(9)=144.
Applications of Pyramid Volume
Architecture
Geometry Homework
Model Design
Material Estimates
Frequently Asked Questions
What is a pyramid volume calculator?▼
It calculates pyramid volume from the area of the base and the vertical height.
What is the pyramid volume formula?▼
The formula is V = (1/3)Bh, where B is base area and h is vertical height.
How do I use this calculator?▼
Enter the base area and height, then click Calculate to get the pyramid volume.
Is slant height used in this formula?▼
No. Volume uses vertical height, not slant height. Slant height is mainly used for surface area.
Where is pyramid volume used?▼
It is used in geometry, architecture, monuments, modeling, and material estimates.
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