Question

A rectangular room measures 10 m x 10 m x 5 m What is the maximum length of the stick it can accommodate?

• A. 10 m
• B. 15 m
• C. 20 m
• D. 25 m

Answer 1

The correct option is B 15 m

The length of the longest stick that can fit in a cuboidal room is the length of its diagonal.
Length of the diagonal $=\sqrt{l^2+b^2+h^2}$

Length of the longest stick that can fit in the room $=\sqrt{{10}^2+{10}^2+5^2}$

$=\sqrt{100+100+25}$

$=\sqrt{225}$

$=15m$