Math in the Workplace - Geometry
IDAHO BARNS
Pre-fabricated Barns & Buildings
Job Estimator
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Job Description: Sell and install pre-fabricated
barns and buildings. Price entire projects including labor and materials. |
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Problem:
A family wants to buy a barn to keep their animals in. The barn is 36 feet wide and 48 feet long. The foundation requirements call for concrete piers placed every 12 feet through the structure.
The piers are to be 2.5 feet deep and 12 inches in diameter. How
much concrete will be used for this project?
The final amount needs to be calculated in cubic yards because that is how concrete is sold.
 IDAHO BARNS |
Solution:
20 piers are required for the building. Calculate how much concrete is needed for each pier and multiply by 20.
area = pr2 = 3.14 x 6 x 6 = 113.04 square inches
2.5 feet = 30 inches
(113.04 sq in) x (30 in) = 3391.2 cubic inches
3391.2 cubic in
1,728 |
= 1.9625 cubic ft x 20 = 39.25 cubic feet |
27 cubic feet = 1 cubic yard
39.25
27 |
= 1.45 cubic yards of concrete needed |