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The number of edges on a cube Twice the number of faces on a
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30 Mar 2018, 02:13
30 Mar 2018, 02:13
1
Expert Reply
5
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Question Stats:
57% (00:30) correct
42% (00:37) wrong based on 105 sessions
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Quantity A |
Quantity B |
The number of edges on a cube |
Twice the number of faces on a cube |
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.
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
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Re: The number of edges on a cube Twice the number of faces on a
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31 Mar 2018, 17:36
31 Mar 2018, 17:36
1
Expert Reply
Let's find quantity A first: if you visualize a cube, imagine the square on the top. The top square has 4 sides. So does the bottom square, making 8 so far. There are also 4 vertical edges joining the two squares, for a total of 12.
Another way to figure out quantity A is this: there are 6 squares, each of which has 4 edges. So since 6x4=24, that makes 24 edges. However, every edge joins two squares, so we have counted every edge twice, so we should divide 24 by 2 to get 12 again.
Quantity B is simple. There are 6 sides to the cube, so doubling that, we get 12 again, so the answer is C.
Another way to figure out quantity A is this: there are 6 squares, each of which has 4 edges. So since 6x4=24, that makes 24 edges. However, every edge joins two squares, so we have counted every edge twice, so we should divide 24 by 2 to get 12 again.
Quantity B is simple. There are 6 sides to the cube, so doubling that, we get 12 again, so the answer is C.
The number of edges on a cube
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25 Dec 2018, 09:15
25 Dec 2018, 09:15
Expert Reply
2
Bookmarks
Quantity A |
Quantity B |
The number of edges on a cube |
Twice the number of faces on a cube |
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.
