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● Geometry Calculator

Pyramid Volume Calculator

Calculate the volume of a square or rectangular pyramid using its base dimensions and perpendicular height. Instantly view base area, slant height, and a complete calculation breakdown.

STEP 01Choose the pyramid type

Select a square or rectangular base.

STEP 02Enter base dimensions

Add the base length, width, and vertical height.

STEP 03Review the result

See volume, base area, slant height, and ratios.

Pyramid volume
400.00 cm³
interior capacity
Base area
120.00 cm²
length × width
Vertical height
10.00 cm
perpendicular height
Length slant
11.66 cm
to length-side midpoint
Width slant
10.77 cm
to width-side midpoint
Pyramid dimensions
cm
cm
cm
Calculated volume
400.00 cm³
pyramid volume
A rectangular pyramid with a 12 cm × 10 cm base and 10 cm height has a volume of 400.00 cm³.
PYRAMID PROPORTION
Calculation breakdown
Base length12.00 cm
Base width10.00 cm
Vertical height10.00 cm
Base area120.00 cm²
Pyramid volume400.00 cm³
Formula used
V = (Length × Width × Height) ÷ 3

First calculate the area of the rectangular base. Multiply that area by the perpendicular height, then divide by three to find the pyramid volume.

Geometry insights
Rectangularpyramid type
1.20:1base proportion
33.33%of matching prism
This pyramid occupies exactly one-third of the volume of a prism with the same base and height.
Common uses

Use this calculator for geometry homework, architectural models, packaging, monuments, roof forms, storage estimates, 3D design, engineering sketches, and educational demonstrations.

Important assumption

The height must be measured perpendicular to the base. A slanted edge or face height is not the same as the vertical height used in the volume formula.

Frequently asked questions
What is the formula for pyramid volume?

Multiply the base area by the perpendicular height, then divide the result by three.

Why do we divide by three?

A pyramid occupies one-third of the volume of a prism with the same base area and height.

Can I calculate a square pyramid?

Yes. Choose Square pyramid and the calculator will use the same value for both base dimensions.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

ⓘ Pyramid Volume Calculator Disclaimer
This calculator is intended for educational, design, and planning estimates. Confirm important engineering or construction measurements with a qualified professional.
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