Math

Volume of a Trapezoidal Prism Calculator

Find the volume of a prism with a trapezoidal cross-section.

Calculated Output

Volume 150

Cross-section area 15

Formula: V = ½(a + b)·h · length

Step-by-Step Breakdown

1. Values used:

2. Parallel side a = 4

3. Parallel side b = 6

4. Trapezoid height = 3

5. Prism length = 10

7. Volume = 150

8. Cross-section area = 15

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The math behind it

First find the trapezoid area: ½(a + b)·h. Then multiply by the prism length.

Trapezoid sides 4 and 6, height 3 (area 15), length 10 → volume 150.

What are a and b?

The two parallel sides of the trapezoidal cross-section.