Question

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

• A. $1$ only
• B. $2$ only
• C. $3$ only
• D. $1,2$, and $3$

Answer 1

The correct option is D $1,2$, and $3$

Distance between $2$ vertices on the same $line=1cm$
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).