SOLUTION: the volume v of a pyramid varies jointly with the area of its base, A, and its hiegh, h. If the volume is 75ft when the area of the base is 45 ft and the hieght is 5 ft, what is t

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the volume v of a pyramid varies jointly with the area of its base, A, and its hiegh, h. If the volume is 75ft when the area of the base is 45 ft and the hieght is 5 ft, what is t      Log On

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Question 891071: the volume v of a pyramid varies jointly with the area of its base, A, and its hiegh, h. If the volume is 75ft when the area of the base is 45 ft and the hieght is 5 ft, what is the volume when the area of the base is 100ft and the height is 6 ft?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Converting the variation description into symbolism,

highlight_green%28v=kAh%29, using k as the variation constant.

Find formula for k.
k=v%2F%28Ah%29
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Use the given values to find value of k.
k=75%2F%2845%2A5%29
k=%283%2A5%2A5%29%2F%283%2A15%2A5%29
k=1%2F3.
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Formula for v is highlight%28v=%281%2F3%29Ah%29.

You can use the formula for any combination of values of A and h.