Volume of Pyramid Calculator
Calculate volume of a rectangular pyramid
How to Calculate Pyramid Volume
Enter Base Dimensions
Input the length and width of the rectangular base of the pyramid.
Input Height
Enter the perpendicular height from the base to the apex (top point).
Get Instant Results
Click calculate to see the volume and base area computed instantly.
Key Features of This Pyramid Calculator
**Accurate Formula**
Uses V = ⅓ × Base Area × Height for precise volume calculations.
**Rectangular Base Support**
Handles any rectangular base - squares, rectangles, and everything in between.
**4 Decimal Precision**
Results shown to 4 decimal places for engineering and academic accuracy.
**Free & Easy to Use**
No signup required. Simple interface gets you results in seconds.
Frequently Asked Questions
What is the formula for pyramid volume?
The volume of a pyramid is V = ⅓Bh, where B is the base area and h is the height. For a rectangular base, B = length × width, so V = ⅓ × l × w × h.
Why is pyramid volume one-third of a prism?
A pyramid with the same base and height as a prism occupies exactly one-third of the prism's volume. This is a fundamental geometric relationship proven by calculus.
What is the difference between height and slant height?
Height is the perpendicular distance from base to apex. Slant height is the distance along the triangular face from base edge to apex. This calculator uses perpendicular height.
Where are pyramid calculations used?
Pyramid volume is used in architecture (roof design, monuments), construction (hoppers, silos), packaging (pyramid-shaped containers), and mathematics education.
Can this calculate square pyramid volume?
Yes! For a square pyramid, simply enter the same value for both length and width. A square is a special case of a rectangle.
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