Math, asked by ihavemanyquestions, 4 months ago

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.

Answers

Answered by hanuhomecarepr72
2

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

Answered by SweetestBitter
0

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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