If you have rectangular box with length = 40 cm, width = 30 cm, and height = 70 cm; what is the largest length stick that could fit inside the box (rounded to the nearest cm) ?
Responses
A 80 cm
B 86 cm
C 90 cm
D 96 cm
E 100 cm
The largest length stick that could fit inside the box would have to be the diagonal of the box. Using the formula for the diagonal of a rectangular box (d = √(length^2 + width^2 + height^2)), we would find:
d = √(40^2 + 30^2 + 70^2)
d = √(1600 + 900 + 4900)
d = √(7500)
d ≈ 86.6 cm
Rounded to the nearest cm, the largest length stick that could fit inside the box is 87 cm.
Therefore, the answer is not among the options provided, but it would be closest to option B.