5. Volumes of Pyramids and Cones
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Use the formula for the volume of a pyramid.
5.5 feet
A tent can be modeled by the following rectangular pyramid.
We want to find the height h if we know that the volume of the pyramid is V= 88 cubic feet. Since the base is 6 feet by 8 feet, the area of the base is B=6* 8= 48 square feet. Now, let's use the formula for the volume of a pyramid.
V= 88, B= 48
1/b* a = a/b
Calculate quotient
.LHS /16.=.RHS /16.
a/b=.a /8./.b /8.
Rearrange equation
Calculate quotient
Therefore, the height of the pyramid — the height of the tent's center pole — is 5.5 feet.