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Ratio of Volume to Surface area of a Rectangular Prism

You have recently published a research article on the impact of air friction on falling bodies. In your article, you have noted that the deceleration due to friction is a function of the ratio of the volume of the object to the total surface area of that object.

a. Express this ratio for a rectangular prism of length L, width W, and height H. Show how you derive this expression.

b. If the width is to be kept at half the length and the height is to be 5 inches less than the length, then rewrite and simplify this ratio as a function of only the lenght, L. Show your work.

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You have recently published a research article on the impact of air friction on falling bodies. In your article, you ...

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