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The number of edges on a cube Twice the number of faces on a

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The number of edges on a cube Twice the number of faces on a [#permalink] New post 30 Mar 2018, 02:13
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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.
[Reveal] Spoiler: OA

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Re: The number of edges on a cube Twice the number of faces on a [#permalink] New post 31 Mar 2018, 17:36
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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.
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Re: The number of edges on a cube Twice the number of faces on a   [#permalink] 31 Mar 2018, 17:36
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