Primary Mathematical Formula
Frequently Asked Questions
How do you calculate the volume of a pyramid frustum?
Multiply the frustum's height by the sum of the two base areas and the square root of their product, then divide by 3.
What is the formula for the volume of a truncated pyramid?
The formula is $V = \frac{h}{3} (B_1 + B_2 + \sqrt{B_1 B_2})$, where $B_1$ and $B_2$ are the parallel base areas and $h$ is the perpendicular distance between them.
What measurements do I need for a pyramid frustum calculator?
You need the areas of the larger bottom base $B_1$ and smaller top base $B_2$, along with the perpendicular height $h$ separating them. If the bases are squares or rectangles, you can calculate their areas directly from their edge lengths.
Is a pyramid frustum the same as a truncated pyramid?
Yes. A pyramid frustum is the solid remaining when the top portion of a pyramid is sliced off by a plane parallel to its base.
Can I calculate the volume of a square pyramid frustum using side lengths?
Yes. Let the bottom square edge be $s_1$ and top square edge be $s_2$. Then $B_1 = s_1^2$ and $B_2 = s_2^2$, giving $V = \frac{h}{3} (s_1^2 + s_2^2 + s_1 s_2)$.