Volume of a Triangular Prism

Explanation

First, find the area of the triangular base:

\[B = \frac{1}{2}(6)(8) = \frac{1}{2}(48) = 24 \text{ cm}^2\]

To find the volume of the prism:

\[V = Bh\]

This is the formula for the volume of a triangular prism.

\[V = 24(50)\]

Substitute 24 for \(B\) (the area of the base) and 50 for \(h\) (the height/length).

\[= 1{,}200\]

The volume of the triangular prism is 1,200 cm³. Note that the 10 cm measurement (the hypotenuse) was not used in the calculation of the volume.