# How do you find the volume of a 3D trapezoid?

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mason m Share
Jun 12, 2018

Find the area of just the trapezoidal face $A = \frac{1}{2} h \left({b}_{1} + {b}_{2}\right)$, then multiply it by the length of the entire prism.

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1
Jun 12, 2018

As below.

#### Explanation:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.

In other words, multiply together the length, height, and average of A and B.

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