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TRICKY - Each edge of the above cube has length 1. If an ant

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GreenlightTestPrep
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TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   17 Jun 2018, 07:30
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Each edge of the above cube has length 1. If an ant walks from point A to point B along the OUTSIDE of the cube, what is shortest distance the ant must travel?
A) √3
B) 2
C) √5
D) √6
E) √7
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C
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GreenlightTestPrep
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   20 Jun 2018, 05:34
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GreenlightTestPrep wrote:
Image
Each edge of the above cube has length 1. If an ant walks from point A to point B along the OUTSIDE of the cube, what is shortest distance the ant must travel?
A) √3
B) 2
C) √5
D) √6
E) √7


If we open up the cube, we get something like this....
Image

Let x = the distance from A to B
Image
Since we have a right triangle, we can apply the Pythagorean Theorem to get: 1² + 2² = x²
Simplify to get: 1 + 4 = x²
So, 5 = x², which means x = √5

Answer: C

Cheers,
Brent
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Chaithraln2499
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   27 Mar 2022, 05:10
But why are we opening the cube? It just says the ant walks on the outer edge?

GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
Image
Each edge of the above cube has length 1. If an ant walks from point A to point B along the OUTSIDE of the cube, what is shortest distance the ant must travel?
A) √3
B) 2
C) √5
D) √6
E) √7


If we open up the cube, we get something like this....
Image

Let x = the distance from A to B
Image
Since we have a right triangle, we can apply the Pythagorean Theorem to get: 1² + 2² = x²
Simplify to get: 1 + 4 = x²
So, 5 = x², which means x = √5

Answer: C

Cheers,
Brent
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GreenlightTestPrep
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   27 Mar 2022, 06:21
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Chaithraln2499 wrote:
But why are we opening the cube? It just says the ant walks on the outer edge?


I believe it helps visualize the shortest path the ant must take.
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   27 Mar 2022, 07:19
Is there an alternate way to come up with the answer without opening the cube?

GreenlightTestPrep wrote:
Chaithraln2499 wrote:
But why are we opening the cube? It just says the ant walks on the outer edge?


I believe it helps visualize the shortest path the ant must take.
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GreenlightTestPrep
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink] New post   27 Mar 2022, 09:08
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Chaithraln2499 wrote:
Is there an alternate way to come up with the answer without opening the cube?


There might be, but I can't think of one.
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Re: TRICKY - Each edge of the above cube has length 1. If an ant [#permalink]
27 Mar 2022, 09:08
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