Question

Find the volume of a pyramid with a square base, where the perimeter of the
base is 5.1 in and the height of the pyramid is 2.7 in. Round your answer to
the nearest tenth of a cubic inch.

Answer 1

9514 1404 393

Answer:

  1.5 in³

Step-by-step explanation:

Several formulas come into play:

  P = 4s . . . . . . . perimeter of square of side length s

  A = s² . . . . . . . area of square with side length s

  V = 1/3Bh . . . . volume of a pyramid with base area B and height h

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Using the given numbers, we find ...

  (5.1 in) = 4s

  s = (5.1 in)/4

  A = ((5.1 in)/4)² = 1.625625 in²

  V = 1/3(1.625625 in²)(2.7 in) = 1.4630625 in³

The volume of the pyramid is about 1.5 cubic inches.