SOLUTION: I am building a bike ramp that is shaped like a square pyramid. I used two 4-foot by 8-foot sheets of plywood. How much plywood will I have left over if the height is 3ft and the l

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Question 954900: I am building a bike ramp that is shaped like a square pyramid. I used two 4-foot by 8-foot sheets of plywood. How much plywood will I have left over if the height is 3ft and the lenght is 5ft.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
a=side of square=5ft; h=height=3ft; A%5BL%5D=lateral area (surface area without base)
A%5BL%5D=a%2Asqrt%28a%5E2%2B4h%5E2%29
A%5BL%5D=5ft%2Asqrt%28%285ft%29%5E2%2B4%283ft%29%5E2%29
A%5BL%5D=5ft%2Asqrt%2825ft%5E2%2B36ft%5E2%29
A%5BL%5D=5ft%2Asqrt%2861ft%5E2%29
A%5BL%5D=5ft%2A7.81ft
A%5BL%5D=39ft%5E2 The ramp will take 39 square feet of plywood.
2 sheets of plywood =2%284ft%2A8ft%29=2%2832ft%5E2%29=64ft%5E2
64ft%5E2-39ft%5E2=25ft%5E2 ANSWER: There will be 25 square feet of plywood left over.