SSC CHSL 2022 PYQ — Question 51

SSC CHSL - 30 May 2022 - Shift 2 • Quantitative Aptitude • Q51

The length of the longest stick that can be fitted in a cubical vessel having an edge of length 20 cm, is _______.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 20 3\sqrt{3}cm

Concept Used:

Diagonal of a cube = a3a\sqrt{3}

Given that the side of the cubical vessel = 20 cm

The length of the longest stick in the cubical vessel = length of the diagonal of the cubical vessel

Now, length of longest stick = 20320 \sqrt{3}

Hence the length of the longest stick that can be fitted in a given cubical vessel is 20320 \sqrt{3} cm.