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19 February, 07:19

The bottom shape is a square prism with base edges of 5 feet and a height of 15 feet. What is the volume of the composite figure if the top shape is a right pyramid with a height of 3 feet? 375 ft3 225 ft3 25 ft3 400 ft3

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  1. 19 February, 07:38
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    If the base of the prism is five an all sides with a height of 15 the volume would be 375 for the prism

    if the pyramid has a base width and length of five, like the prism, it would have a volume of 25

    the whole shape/construct together has a volume of 400ft^3
  2. 19 February, 07:51
    0
    The volume of the prism is

    V = Bh

    where B is the area of the base, (5 ft) ² = 25 ft², and h is the height, 15 ft.

    The volume of the pyramid is

    V = (1/3) Bh

    where B is the area of the base, 25 ft², and h is the height, 3 ft.

    The total volume is the sum of these:

    V = Bh₁ + (1/3) bh₂

    V = B (h₁ + (1/3) h₂)

    V = (25 ft²) · (15 ft + (1/3) · (3 ft))

    V = (25 ft²) · (16 ft) = 400 ft³
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