SOLUTION: the roof of a house is shaped like a right pyramid with a square base. the base of the pyramid measures 32ft on each side, and the roof must enclose a volume of at least 4096 ft cu

Algebra ->  Surface-area -> SOLUTION: the roof of a house is shaped like a right pyramid with a square base. the base of the pyramid measures 32ft on each side, and the roof must enclose a volume of at least 4096 ft cu      Log On


   

Question 1021774: the roof of a house is shaped like a right pyramid with a square base. the base of the pyramid measures 32ft on each side, and the roof must enclose a volume of at least 4096 ft cubed of air. calculate the minimum height for the apex of the roof
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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a=base length; h=height
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V=%281%2F3%29%28a%5E2%29h
3V=%28a%5E2%29h
3V%2Fa%5E2=h
%283%284096ft%5E3%29%29%2F%2832ft%29%5E2=h
%2812288ft%5E3%29%2F%281024ft%5E2%29=h
12ft=h
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ANSWER: Minimum height is 12 feet.
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