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3. The volume (V) of a pyramid varies jointly as its height (h) and the area (A) of its base. A pyramid with a height of 12 feet and a base with area of 20 square feet has a volume of 80 cubic feet. Find the volume of a pyramid with a height of 17 feet and a base with an area of 27 square feet. Write your solution here...

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IVANACLEOGO

Answer:

"varies jointly" means V = k*H*B where k is a constant to be determined, H is the height and B is the area of the base

 

92 = k * 12 * 23 => k = 1/3

 

Therefore V = (1/3) * 17 * 27 = 153

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