Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

What is the maximum distance between any two points of a cube of side $l$ units?

Options:

$(\sqrt{2}+1)l\,units$

$\sqrt{2}l\,units$

$\sqrt{3}l\,units$

$2\, l\, units$

Correct Answer:

$\sqrt{3}l\,units$

Explanation:

The maximum distance between any two points of a cube of side $‘l’$ units is the diagonal.

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