October $24,2023$

$S=2LW+2WH+2LH$

Marketing and Engineering Teams:

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We at Edmonds Foods Corporation have created a new cereal in which each piece of cereal is in the

shape of a rectangle that is $1cm$ by $1\mathrm{.}618cm.$ Of course, the engineers on your team will probably

recognize that these dimensions approximate a golden rectangle. We would like the engineering

and marketing teams to work together to designing a box in which to package this cereal. Each

team should come up with a design and prototype model that meets the criteria listed below:

The box should contain $1000$ cubic centimeters. $1000=LWH$

The side of the box that will face consumers should be a golden rectangle. $\frac{H}{2}=1\mathrm{.}618$ or $1\mathrm{.}618$LWe at Edmonds Foods Corporation have created a new cereal in which each piece of cereal is in the

shape of a rectangle that is $1cm$ by $1\mathrm{.}618cm.$ Of course, the engineers on your team will probably

recognize that these dimensions approximate a golden rectangle. We would like the engineering

and marketing teams to work together to designing a box in which to package this cereal. Each

team should come up with a design and prototype model that meets the criteria listed below:

The box should contain $1000$ cubic centimeters. $1000=LWH$

The side of the box that will face consumers should be a golden rectangle. $\frac{H}{2}=1\mathrm{.}618$ of $1\mathrm{.}618L$

In order to minimize production costs, the surface area of the box should be minimized.

For production purposes, dimensions should be expressed to the nearest hundredth of a

centimeter.

In order to minimize production costs, the surface area of the box should be minimized.

For production purposes, dimensions should be expressed to the nearest hundredth of a

centimeter.