Pyramid Frustum Volume

Find the volume of a pyramid frustum from its lower base area, upper base area, and height using V=(h/3)(S1+S2+square root of S1 S2).

Input

Enter the lower base area, upper base area, and height to calculate the volume of a pyramid frustum.

Lower base area S1

Upper base area S2

Height h

Volume V

Lower base area S1

Upper base area S2

Height h

When the base areas and height use matching length units, the volume is in the cube of that unit.

The volume of a pyramid frustum is V=(h/3)(S1+S2+square root of S1 S2), where S1 is the lower base area, S2 is the upper base area, and h is the height.
Setting the upper base area S2 to 0 gives the volume of a full pyramid, and when S1 equals S2 the result matches the volume of a prism.
When the base areas use the square of a length unit and the height uses that same length unit, the volume comes out in the cube of that unit.
Enter the height as the perpendicular distance between the two bases, not the length of a slanted edge.
This calculation assumes a frustum whose two bases are similar and parallel.

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