Shapes & spaces

Frustum of a rectangular pyramid calculator

Calculate the volume cut between two similar rectangular sections of a pyramid.

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Behind the numbers

How this calculation works

Calculate the volume cut between two similar rectangular sections of a pyramid.

THE FORMULAV = h(A₁+A₂+√(A₁A₂))/3 for similar parallel ends

A worked example

Areas 48 and 12 with height 6 give volume 168.

Good to know

The end rectangles must be similar and aligned.

Read the result

Calculate the volume cut between two similar rectangular sections of a pyramid.

The primary result is labeled “Volume”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

The end rectangles must be similar and aligned.

For a related exercise, try the circle calculator.

A few questions, answered

How can I check the default inputs by hand?

Areas 48 and 12 with height 6 give volume 168.

Which rule does this calculator apply?

V = h(A₁+A₂+√(A₁A₂))/3 for similar parallel ends

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