SOLUTION: Find the volume of a square pyramid with base edges of 27 feet and a height of 30 feet.

Question 100552: Find the volume of a square pyramid with base edges of 27 feet and a height of 30 feet.
Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
first define the formula for the volume of a pyramid
Volume equals area of the base times the height times 1/3
The problem gives the height and it gives the length of an edge of the pyramids square base. So to use the volume formula first we must find the area of the base.
Because the base of the pyramid is a square we can use the formula for area of a square to find the area of the base.
Area of a square equals the length of an edge squared
so given the edge is 27 feet find the area

729
Now we can use the volume formula
Volume=(area of base)(height)(1/3)
V=(729)(30)(1/3)
V=(21870)(1/3)
V=21870/3
V=7290
Volume is expressed in terms of cubic units
The units given in this problem are feet
So the complete answer is

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