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16 Sep 2014, 00:18
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In the cube shown above, what is the minimum distance from point \(A\) to point \(D\)?
(1) \(BC = 4\)
(2) \(AB = 4\)
16 Sep 2014, 00:18
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Official Solution:
In the cube shown above, what is the minimum distance from point \(A\) to point \(D\)?
The question is asking to find the length of the space diagonal of the cube. Note that once we know any length related to the cube, the entire cube is determined, and we can find any other length.
For instance, let \(s\) be the side length of the cube and \(d\) be the length of the space diagonal AD. Using the Pythagorean theorem, we can write:
\(AC^2 = AB^2+BC^2 = s^2 + s^2\) and \(d^2 = AC^2 + CD^2 = (s^2 + s^2) + s^2 = 3s^2\)
Thus, \(d = s\sqrt{3}\).
(1) \(BC = 4\). The side length is given, so we can calculate the length of the diagonal. Sufficient.
(2) \(AB = 4\). The side length is given, so we can calculate the length of the diagonal. Sufficient.
Answer: D
In the cube shown above, what is the minimum distance from point \(A\) to point \(D\)?
The question is asking to find the length of the space diagonal of the cube. Note that once we know any length related to the cube, the entire cube is determined, and we can find any other length.
For instance, let \(s\) be the side length of the cube and \(d\) be the length of the space diagonal AD. Using the Pythagorean theorem, we can write:
\(AC^2 = AB^2+BC^2 = s^2 + s^2\) and \(d^2 = AC^2 + CD^2 = (s^2 + s^2) + s^2 = 3s^2\)
Thus, \(d = s\sqrt{3}\).
(1) \(BC = 4\). The side length is given, so we can calculate the length of the diagonal. Sufficient.
(2) \(AB = 4\). The side length is given, so we can calculate the length of the diagonal. Sufficient.
Answer: D
15 Apr 2015, 05:45
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Hello I am sort of new on this website and I have been seing these type of questions for a while, however I don't know how to answer them... How do you know the answer is D? all I saw was
(1) BC=4
(2) AB=4
In other words, I didn't see any multiple choice from a to e...
Can someone help me understand how this works?
Thanks
(1) BC=4
(2) AB=4
In other words, I didn't see any multiple choice from a to e...
Can someone help me understand how this works?
Thanks
