solid geometry

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quantskillsgmat: Senior | Next Rank: 100 Posts; Posts: 96; Joined: Fri Apr 23, 2010 1:14 amFollowed by: 1 member; Thanked: 1 times

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
18
24
36
72

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Source: Beat The GMAT — Problem Solving | Wed Jun 25, 2014 11:03 pm

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

by GMATinsight » Thu Jun 26, 2014 2:50 am

LCM of (4, 6, and 8) = 24 Answer

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GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

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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ceilidh.erickson: GMAT Instructor; Posts: 2095; Joined: Tue Dec 04, 2012 3:22 pmFollowed by: 247 members; Thanked: 1443 times

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!

Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education

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GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

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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