Hey there :)
We know the volume formula of a triangular prism:
Volume = [tex] \frac{(base)(height)}{2} [/tex](of triangle) x height (of prism)
We are given the following:
Height of prism = 15 ft
Height of triangle = 8 ft
Base of triangle = [tex] 6\frac{2}{3} [/tex] ft
Let us plug-in the given
V = [tex] \frac{( 6\frac{2}{3})(8) }{2} [/tex] x 15
= [tex]26 \frac{2}{3} [/tex] x 15
= 400 ft³
