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(50 POINTS PLEASE HELP!!!)

!!!THE QUESTION THAT I NEED TO BE ANSWERED IS THE PICTURE ATTACHED!!! BELOW IS JUST THE REQUIREMENTS AND EXAMPLE!!!

He has hired you as their new production manager. Your job is to look at four different figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the four options shown below. The candy is animal gummies. The package must hold between 80 and 100 cubic inches (roughly 5-7 cups of space). The cost of the plastic for the packaging is $0.004 per square inch. When finding cost you would multiply the Total Surface Area by $0.004.
For example:
Total Surface Area = 86 sq. in
Cost per sq in = $0.004
86 * .004 = .344 when rounded to nearest penny = $0.34

Your project should include the volume, total surface area, and materials cost for each figure given below, including the formulas you used and each step of your work. Be sure to find all measures for each figure, even if the figure does not meet the restraints that the company has given. Make sure to use the formulas given in your lessons, round your volume and area to the nearest hundredth, and round your cost to the nearest penny.

50 POINTS PLEASE HELP THE QUESTION THAT I NEED TO BE ANSWERED IS THE PICTURE ATTACHED BELOW IS JUST THE REQUIREMENTS AND EXAMPLE He Has Hired You As Their New P class=

Sagot :

The figure in the question is a box with dimensions of 6 in. by 2 in. by 9 in., which gives;

  • Surface area of the packaging = 168 in.²

  • Package volume = 108 in.³

  • Cost of packaging = $0.672

Which method can be used to provide the packaging estimates for the company?

The dimensions of the box in the given figure are;

Length, L = 9 in.

Width, W = 2 in.

Height, H = 6 in.

The surface area, A, of a box is found using the following formula;

A = 2•L•W + 2•L•H + 2•H•W

Therefore;

A = 2×9×2 + 2×9×6 + 2×2×6 = 168

  • The surface area of the figure, A = 168 in.²

The volume of a box, V, is calculated as follows;

  • V = L•W•H

For the given figure, therefore;

V = 9 × 2 × 6 = 108

  • The volume of the given figure, V = 108 in.³

Cost of packaging per square inch, c = $0.004

Cost to package the figure, C, is therefore;

  • C = c × A

Which gives;

C = $0.004/in.² × 168 in.² = $0.672

  • Packaging cost, C = $0.672

Learn more about working with formulas in mathematics here:

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