Respuesta :

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We know the volume formula of a triangular prism
Volume = base area × height of prism

We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft

Apply the formula
V = [tex] \frac{1}{2} [/tex] ( 5 )( 3 ) × 7.5
   = 7.5 × 7.5
   = 56.24 ft³
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Answer with Step-by-step explanation:

We know that:

volume of a triangular prism = Base area × height of prism

We are given:

Base of triangle = 5 ft

Height of triangle = 3 ft

Height of prism = 7.5 ft

Base Area=[tex]\dfrac{1}{2}\times 5\times 3[/tex]

                =7.5 ft²

Volume of triangular prism =7.5 × 7.5

                                             = 56.25 ft³

Hence, Volume of triangular prism is:

56.25 cubic feet