Math CentralQuandaries & Queries


Question from ryan, a student:

Good day!

Have a question on rectangular solids. We were asked to find the dimensions of a rectangular solid, we were only given the volume of the rectangular solid, the total area, and the altitude. I tried using the volume of the rectangular solid and was able to get the area of the base, but I don't know how to get its length and its width. Hope you could help me again. Thanks!

i Ryan,

Suppose the length is L, the width is W and the height is H. You have found L × W and you know H. Write an expression for the surface area and substitute the known values of L × W and H. This will give you an expression for L + W. Use this expression along with the value you have for L × W to solve for L and W.


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