Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

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Answer:

  9.2 ft³

Step-by-step explanation:

The side length of the square base is 1/4 of the perimeter, so is ...

  s = P/4 = (7.4 ft)/4 = 1.85 ft

The area of the base is the square of this, or ...

  A = s² = (1.85 ft)² = 3.4225 ft²

The volume of the pyramid is given by ...

  V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²

The volume of the pyramid is about 9.2 cubic feet.