Answer:
The answer is 4√2 ft i.e (5.66ft)
Step-by-step explanation:
The length, width and height of a rectangular box are all perpendicular.
This means the length of the diagonal is the Pythagorean distance of the three sides.
So, square of diagonal = L^2 + W^2 + H^2
So,
100 = 64 + 4 + H^2
H^2 = 100 - 68 = 32
H = √32 = 4√2 = 5.66ft