A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging. Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch. Cereal Box Design Volume of Box Surface Area of Box Cost of Material 12 in. 7.5 in. 2 in. h-12ir. 1- 126 in 6 in. E in.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company has released the following possible designs for a new cereal box. The cost of production depends
upon the cost of materials, which is determined by how much material is used. The amount of material used is
equal to the surface area of the package plus some overlap. The amount of product contained in the package is
the volume of the packaging.
Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the
cereal box assuming that cardboard costs $0.05 per square inch.
Cereal Box Design
Volume of Box
Surface Area of Box
Cost of Material
12 in.
7.5 in.
2 in.
h-12ir.
1- 12.6 in
6 in.
B in.
Transcribed Image Text:A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging. Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch. Cereal Box Design Volume of Box Surface Area of Box Cost of Material 12 in. 7.5 in. 2 in. h-12ir. 1- 12.6 in 6 in. B in.
r-25 in.
h-12 in
Which box would you choose for the cereal box design? Explain your answer.
Transcribed Image Text:r-25 in. h-12 in Which box would you choose for the cereal box design? Explain your answer.
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