volume_mute

Volume of a Triangular Prism (5 in × 10 in × 12 in)

publish date2026/05/18 12:18:47.484319 UTC

volume_mute

Find the volume of the prism shown below.

10 in. 12 in. 5 in.

Correct Answer

300 in³

Explanation

First, find the area of the triangular base (legs 5 in and 10 in):

\[B = \frac{1}{2}(5)(10) = \frac{1}{2}(50) = 25 \text{ in}^2\]

\[V = Bh = 25(12) = 300\]

The volume of the triangular prism is 300 in³.

Reference

Mathematics for college students


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