Question

Find the volume of a pyramid with a square base, where the perimeter of the base is
7.3 ft and the height of the pyramid is 11.1 ft. Round your answer to the nearest
tenth of a cubic foot.

Answer 1

Answer:

V = 12.3 ft.³

Step-by-step explanation:

Volume of a pyramid is V = 1/3 Bh  where B represents the area of the base and h represents the height.

Given that the base is a square with perimeter 7.3 ft.  So the length of the square on the base is 1.825ft. because in the square all sides are = and P = 4s

Next find the area of the base: A = s² ; A = (1.825)² = 3.330625 ft.²

Given the height is 11.1 ft.   Substitute into the volume formula and solve for V.

$V = \frac{1}{3} Bh$

$V =\frac{1}{3} (3.330625)(11.1)$

$V = 12.3233125$ ft.³

$V = 12.3 ft.^3$