SOLUTION: HELP PLEASE!!!!! The volume of a rectangular pyramid is 160 ft3. Given that the length and width of the rectangular base are 12 ft and 4 ft, what is the height of the pyramid?

Algebra ->  Surface-area -> SOLUTION: HELP PLEASE!!!!! The volume of a rectangular pyramid is 160 ft3. Given that the length and width of the rectangular base are 12 ft and 4 ft, what is the height of the pyramid?       Log On


   

Question 658760: HELP PLEASE!!!!!
The volume of a rectangular pyramid is 160 ft3. Given that the length and width of the rectangular base are 12 ft and 4 ft, what is the height of the pyramid?
it is not 10ft
please explain how you got the answer as well.
THANK YOU!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given: the volume of a rectangular pyramid is 160ft%5E3
the length L=12ft
the width W=4ft

for a pyramid with width W, length L and height h, the volume,

V of the pyramid will be:
V=%281%2F3%29WLh.......solve for h
3V=WLh
3V%2FWL=h..........plug in given values
h=3%28160ft%5E3%29%2F%284ft%2A12ft%29
h=cross%283%29%28160ft%5E3%29%2F%284ft%2Across%2812%294ft%29
h=%28cross%28160%2940ft%5E3%29%2F%28cross%284%29ft%2A4ft%29

h=%28cross%2840%2910ft%5Ecross%283%29%29%2F%28cross%284%29cross%28ft%5E2%29%29
highlight%28h=10ft%29