Consider the following:
The length of a side of cube is $1 c m$ . Which of the following can be the distance between any two vertices?
1. $1 c m$
2. $\sqrt{2} c m$
3. $\sqrt{3} c m$
Select the correct answer using the code given below

1

only

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2

only

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3

only

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1, 2

, and

3

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Solution

The correct option is D $1, 2$ , and $3$
Distance between $2$ vertices on the same $l i n e = 1 c m$
Distance between the two vertices of the diagonal of the face $= \sqrt{2}$
Distance between the two vertices of the diagonal of the cube $= \sqrt{3}$ . Hence, (d).

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