Respuesta :

Area of the triangle base = 1/2 x 8 x 6 2/3 = 26 2/3 ft²

Volume = base area x height = 26 2/3 x 15 = 400 ft³

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Volume = 400 ft³
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penfila11Pen
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
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