Question

A company designs a box to package their product. The material used costs $0.112 per square foot. The box consists of a square bottom and isosceles triangles making up the sides. A net of the box is shown below.
How much would the material for 10,000 boxes cost?

Answer 1

Square Area = 9 inches * 9 inches
Square Area = 81 square inches

Triangle Base = 9 inches
(1/2) Triangle Base = 4.5 inches
Triangle Height^2 = 11^2 -4.5^2
Triangle Height^2 = 121 -20.25
Triangle Height^2 = 100.75
Triangle Height = 10.0374299499
Triangle Area = 10.0374299499 * 4.5
Triangle Area (rounded) = 45.17 square inches

Area of 4 triangles = 180.673739099 square inches
PLUS Area of the Square = 81 square inches

Total Area =  261.67 square inches

144 square inches = 1 square foot
Total Area =  1.8171527778 square feet

Cost of 10,000 = .112 * 10,000 * 1.817153 
Cost of 10,000 = $2,035.21 

Answer 2

4(9*11/2)
=198

198+9*9
198+81
=279 inches 
279 inche= 23.25square foot

23.25*0.112*10,000
=26040