A. Pick a product that might be packaged in the shape of a rectangular prism. Th

Question

A. Pick a product that might be packaged in the shape of a rectangular prism. The surface area of a rectangular prism can be found with the formula: SA=2lw + 2wh + 2lh. The volume of a rectangular prism can be found with the formula V=lwh. Write an expression for the ratio of surface area to volume for the figure.

B. Choose an appropriate length, width, and height for your package so that it can fit the product that you're shipping. Using these dimensions, what is the ratio of surface area to volume?

Explanation / Answer

A, Lets say we take a buch of roses which can be kept isnide a prism shaped package.

The surface area of a rectangular prism can be found with the formula: SA=2lw + 2wh + 2lh.

The volume of a rectangular prism can be found with the formula V=lwh.

ratio of surface area to volume = surface area/volume = (2lw + 2wh + 2lh)/lwh

= 2/h +2/l +2/w

B. Let dimesnions of the package formed be l =10 inch , w = 3 inch , h=3 inch

atio of surface area to volume = 2/h +2/l +2/w = 2/3 +2/3 +2/10 = 2{ 10 +10 +3}/30

= 23/15

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