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The cube above has side length of 4.
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19 Sep 2017, 08:20
19 Sep 2017, 08:20
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66% (01:05) correct
34% (02:02) wrong based on 100 sessions
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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.
Re: The cube above has side length of 4.
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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.
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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?
