Question

Find the length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high. (In my book the answer is 42.43 m)​

Answer 1

Answer:

To find the longest rod, we have to find the resultant of all sides.

$\sqrt{ {30}^{2} + {24}^{2} + {18}^{2} }$

$\sqrt{900 + 576 + 324}$

$\sqrt{1800}$

$30 \sqrt{2}$

So, the length of the longest rod is 30✓2 or

✓2 = 1.41 so, 30x1.4 = 42.4 m

Hope it helps you!!