GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The cube above has side length of 4.
[#permalink]
19 Sep 2017, 08:20
19 Sep 2017, 08:20
Expert Reply
1
Bookmarks
00:00
Question Stats:
66% (01:05) correct
34% (02:02) wrong based on 100 sessions
Hide Show timer Statistics
Attachment:
cube.jpg [ 14.57 KiB | Viewed 5595 times ]
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.
Re: The cube above has side length of 4.
[#permalink]
21 Sep 2017, 06:59
21 Sep 2017, 06:59
1
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
Re: The cube above has side length of 4.
[#permalink]
16 Sep 2019, 10:48
16 Sep 2019, 10:48
IlCreatore wrote:
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
The endpoints of the perpendicular edges also "touches" the surface. Why did you discard that?
