# math( surface area )

The height of a rectangular prism is 20 centimeters. It has a surface area of 2,400 square centimeters. What are two possible sets of lengths and widths? Find one set of dimensions with l and w equal in length as well as a set of dimensions that are not equal.

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1. If the base has area B, then the prism's surface is

2B + 2*20(L+W)

If L=W, then

2L^2 + 80L = 2400
L=W=20

See what you can do with L not equal W.

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posted by Steve
2. eat butt

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3. What even are the possible lengths ?

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4. To find the different measurements of length and width, start with an algebraic equation. Substitute the length or width with a reasonable number like thirty. Then simplify the equation to find the other measurement.

2(20×30+20w+30w) = 2,400
20×30+20w+30w = 1,200
600+50w = 1,200
50w = 600
w = 12
This means the width would be 12cm and the length would be 30cm. Just know this is an example of one possibility for an answer.

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posted by Robert

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