Answer:
6.7 ft³
Explanation:
You want the volume of a square pyramid with a perimeter of 7.3 ft and a height of 6 ft.
Side
The side of a square is 1/4 the length of the perimeter, so the side length of the base of the pyramid is ...
s = P/4
s = (7.3 ft)/4 = 1.825 ft
Volume
The volume of the pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base:
B = s² = (1.825 ft)²
Then the volume is ...
V = 1/3(1.825 ft)²(6 ft) = 6.66125 ft³
The volume of the pyramid is about 6.7 ft³.
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