Respuesta :

volume is given by:
Volume=(base area)×(height)
hence, solving for height we get:
height=(volume)/(base area)
volume=30 ft³
area=8 ft²
Therefore the value of the height will be:
height=30/8=3.75 ft
we conclude that the height of the prism is 3.75 ft

The height of the octagonal prism is: 3.75 ft.

What is the Volume of a Prism?

  • Volume of a prism = base area of the prism × height of the prism.

Given:

  • Volume of octagonal prism = 30 cubic feet.
  • Base area = 8 square feet

Therefore:

8 × height = 30

  • Divide both sides by 8

height = 30/8

height = 3.75 ft.

Therefore, the height of the octagonal prism is: 3.75 ft.

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