How it works
Volume = ⅓ × length × width × heightone third of base area × height
- length
- one side of the rectangular base
- width
- the other side of the base
- height
- vertical distance from base to apex
For a pyramid with a non-rectangular base, use one third of the base area times the height; the base area is worked out from its own shape.
Frequently asked questions
What is the volume of a 6 by 6 pyramid 9 tall?
108 cubic units, a third of the matching box.
What is the formula for a pyramid?
A third of the base area times the vertical height.
Why is a pyramid a third of a box?
Three pyramids of the same base and height fill one box, the same one-third rule as the cone.
What if the base is not rectangular?
Find the base area for its shape, then multiply by height and divide by three.