SSC CPO 2022 PYQ — Question 108

SSC CPO - 11 Nov 2022 - Shift 1 • Quantitative Aptitude • Q108

What is the length of the longest rod that can be placed in a room of dimensions 12 m × 9 m × 8 m?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option2 i.e. 17 m

Given that 

A room of dimensions 12 m × 9 m × 8 m

The length of the longest rod that can be placed in a room is = √(l2 + b2 + h2)

l = length = 12 m

b = width = 9 m

h = height  = 8 m

Hence, The length of the longest rod = √(l2 + b2 + h2) = √(144 + 81 + 64) = √289 = 17 m