Question

what is the volume?
15 yd
15 yd
8 yd
cubic yards
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Explanation:

Step1: Identify the shape and formula

The shape is a triangular prism. The volume of a triangular prism is given by \( V=\frac{1}{2}\times base\times height\times length \), where the base and height are of the triangular face, and length is the length of the prism.
Here, the triangular face has base \( b = 15\) yd and height \( h = 15\) yd, and the length of the prism \( l=8\) yd.

Step2: Plug in the values

Substitute \( b = 15\), \( h = 15\), and \( l = 8\) into the formula:
\( V=\frac{1}{2}\times15\times15\times8 \)

First, calculate \( 15\times15 = 225 \). Then, \( \frac{1}{2}\times225=112.5 \). Then, \( 112.5\times8 = 900 \).

Answer:

900