DSQ: Calculating the length of an edge of a prism - GMAT Quantitative

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Question

A carpenter is building a box to hold his tools. Find the legth of the second smallest side of the box.

I) The box will have a volume of .

II) The smallest side is half the length of the longest side and the middle side is three-quarters of the length of the longest side.

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Answer

Volume of a prism is found by:

We are given the volume in statement I.

We are told how the sides relate in statement II.

Put together these two statements will allow us to set up an equation to find the middle side.

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