Homework Help: algebra 1

Posted by boogie on Thursday, September 8, 2011 at 8:07pm.

The dimension of a rectangular prism are all positive integers. The volume of the prism is 2002 cubic cm. Find the minimum possible sum in cm of the length width and height.

algebra 1 - MathMate, Friday, September 9, 2011 at 9:45pm
Factorize 2002 to get
2002=2*7*11*13

The three dimensions of the prism must be either one of the above factors, or a product of two of the factors, such as 14*11*13, or
22*7*13, or
2*77*13, etc

Can you find the dimensions which give the minimum sum?

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