The volume of a pyramid varies jointly as its height and area of its base. A pyramid of height 6 feet and area 72 square feet has a volume of 144 cubic feet. Find the volume of pyramid with a height of 57 feet and base with an area of 243 square feet.
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Step-by-step explanation:
"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
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QUESTION :
The volume of a pyramid varies jointly as its height and area of its base. A pyramid of height 6 feet and area 72 square feet has a volume of 144 cubic feet. Find the volume of pyramid with a height of 57 feet and base with an area of 243 square feet.
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 sq. feet
FINAL ANSWER : 153 sq. feet
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