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

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) (Show Source): You can put this solution on YOUR website!
.
a=base length; h=height
.

.
ANSWER: Minimum height is 12 feet.
.

RELATED QUESTIONS
A square pyramid has a base with a side that measures 6cm. The height of the pyramid is... (answered by nerdybill)

A stone pyramid in Egypt has a square base that measures 150 m on each side. The height... (answered by ikleyn,Alan3354)

A stone pyramid in Egypt has a square base that measures 150 m on each side. The height... (answered by solver91311)

The pyramid ABCDE has a square base. The pyramid is 20cm high. Each sloping edge measures (answered by ikleyn)

A square pyramid is 6ft on each side of the base. The height of this pyramid is 14ft.... (answered by ewatrrr)

A pyramid has a volume of 1875 ft cubed. Its base is a square that is 15 ft on each side. (answered by Earlsdon)

I am trying to figure out the volume of a pyramid. The Base is a square and it measures... (answered by scott8148)

A right pyramid on a square base of side 4cm has a slant edge of 6cm. Calculate the... (answered by ikleyn)

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8... (answered by Alan3354)