What is the length of the longest rod that can lie flat in rectangular box which is 2m long and 11/2 wide?

1 answer

The longest rod that can lie flat in the rectangular box must have a length equal to the diagonal of the box. Using the Pythagorean theorem, we have:

length^2 = 2^2 + (11/2)^2
length^2 = 4 + 30.25
length^2 = 34.25
length = √34.25

Therefore, the length of the longest rod that can lie flat in the rectangular box is approximately 5.851 meters.