SOLUTION: A church roof has a pyramid shape with a square base of 50 ft x 50 ft. The slant height is 20 ft. Find the number of bundles of shingles required to cover the roof if 1 bundle of s

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A church roof has a pyramid shape with a square base of 50 ft x 50 ft. The slant height is 20 ft. Find the number of bundles of shingles required to cover the roof if 1 bundle of s      Log On

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Question 1197575: A church roof has a pyramid shape with a square base of 50 ft x 50 ft. The slant height is 20 ft. Find the number of bundles of shingles required to cover the roof if 1 bundle of shingles will cover 25 sq. ft. of roof area. Allow 15% for waste. (Round your answer up to the nearest whole bundle.)
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are 4 faces to cover.

Each face is a triangle with the base of 50 ft and the height of 20 ft.

So, the area of each face is   %281%2F2%29%2A50%2A20 = 500 ft^2.

The total area of the 4 faces is   4*500 = 2000 ft^2.

With 15% waste, the area should be estimated as   1.15*2000 = 2300 ft^2.

To find the number of bundles of shingles, divide  2300 ft^2  by  25:   2300%2F25 = 92.

It is the answer to the problem.


Solved.


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I fixed the numbers in my post after the note from tutor @greenestamps.

I am thankful to @greenestamps for noticing it.

Now you see a fixed/corrected version.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For tutor @ikleyn....

You changed the numbers near the beginning of your work...