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solid geometry

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by quantskillsgmat » Wed Jun 25, 2014 11:03 pm
several cuboids of dimensions 4 by 6 by 8 are joined o form a cube. what should be length of one side of smallest such cube formed.
12
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24
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72
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by GMATinsight » Thu Jun 26, 2014 2:50 am
LCM of (4, 6, and 8) = 24 Answer
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by GMATinsight » Thu Jun 26, 2014 3:06 am
We will take LCM of 4, 6 and 8 because if we join the cuboids of these dimensions and then every dimension of these cuboids will be formed by 4, 6 and 8 but since we have to make a cube and cube has all sides equal therefore sides should be multiple of 4, 6 and 8 all of them

The smallest multiple of 4, 6 and 8 is LCM of them i.e. 24 therefore side of the smallest such cube will be 24
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by ceilidh.erickson » Sat Jun 28, 2014 10:04 am
The GMAT will never ask you about a "cuboid." This is simply not one of the geometric terms tested.

There is really no point in studying from non-GMAT-like sources!
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by GMATinsight » Sat Jun 28, 2014 10:14 am
Agree with Ceilidh. However, if the term "Cuboid" is replaced by "Rectangular solid" then the same question deserves to be considered for GMAT Practice.
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