Respuesta :

Base area = 1/2 x base x height
Base area  = 1/2 x 3.2 x 4.8
Base area = 7.68 cm²

Volume = base area x height 
Volume = 7.68 x 7
Volume = 53.76 cm³

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Answer: Volume = 53.76 cm³
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Lets get started :)

The volume formula of a triangular prism is:
V = [tex] \frac{(base)(height)}{2} [/tex] ( of triangle ) x height ( of prism )

The given are
Height of prism = 7 cm
Height of triangle = 4.8 cm
Base of triangle = 3.2 cm

Let us substitute the given values to find the volume

V = [tex] \frac{(4.8)(3.2)}{2} [/tex] x 7
   = 7.68 x 7
   = 53.76 cm³
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