Rectangular Pyramid Volume Calculator
Determine the volume of a pyramid with a rectangular base effortlessly.
What is a Rectangular Pyramid?
A pyramid with a rectangular base.
A rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that converge at a single point called the apex.
How to Calculate the Volume
Calculating the volume requires the base dimensions and the height.
Rectangular Pyramid Volume Formula
The standard equation for a rectangular pyramid.
Where 'l' is base length, 'w' is base width, and 'h' is the vertical height of the pyramid.
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Frequently Asked Questions
Is the height the same as the slant height?
No. The vertical height (altitude) is the straight line from the center of the base to the apex. Slant height is measured along the face of the pyramid.
Why do we divide by 3?
Geometrically, the volume of any pyramid is exactly one×third the volume of a prism with the same base area and height.
Can this be used for a square pyramid?
Yes, a square pyramid is just a special case of a rectangular pyramid where length equals width.
What if I only know the slant height?
You will need to use the Pythagorean theorem to calculate the vertical height before you can use the volume formula.