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The cube above has side length of 4.

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Carcass

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Joined: 18 Apr 2015

Posts: 18306

GRE 1: Q160 V160

The cube above has side length of 4. [#permalink]

19 Sep 2017, 08:20

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The cube above has side length of 4.

Quantity A	Quantity B
After selecting one vertex of the cube, the number of straight line segments longer than 4 that can be drawn from that vertex of the cube to another vertex of the cube.	When the cube is placed on a flat surface, the maximum number of edges of the cube that can be touching the flat surface at once.

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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IlCreatore

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Joined: 03 Sep 2017

Posts: 518

Re: The cube above has side length of 4. [#permalink]

21 Sep 2017, 06:59

From any of the vertices of a cube two kinds of segments depart: edges that we know being equal to 4 and diagonals that are either $4sqrt(3)$ or $4sqrt(2)$ that are both longer than 4. Thus we have to take in consideration this least kind of segment, which are 4 for each vertex. Then when a cube is put on a flat surface, there are at most 4 edges touching it. Thus the answer is C

nazmulpeyal

Intern

Joined: 03 Jun 2019

Posts: 1

Re: The cube above has side length of 4. [#permalink]

16 Sep 2019, 10:48

IlCreatore wrote:

The endpoints of the perpendicular edges also "touches" the surface. Why did you discard that?

gmatclubot

[#permalink]

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