Question

What is the maximum distance between any two points of a cube of side ${}^{\prime }{l}^{\prime }$ units?

• A. $\sqrt{2}+1)l$ units
• B. $\sqrt{2}l$ units
• C. $\sqrt{3}l$ units
• D. $2l$ units

Answer 1

Answer: (C)

$\sqrt{3}l$ units

The maximum distance between any two points of a cube of side 'l' units is the diagonal length.

Hence, diagonal of cube = $\sqrt{l^2+l^2+l^2}=\sqrt{{3l}^2}=\sqrt{3}l$ units