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)

1 answer

The largest length stick that could fit inside the box would be the diagonal of the box.

The diagonal of a rectangular box can be calculated using the formula:
Diagonal = √(length^2 + width^2 + height^2)

Plugging in the values:
Diagonal = √(40^2 + 30^2 + 70^2)
Diagonal = √(1600 + 900 + 4900)
Diagonal = √(7500)
Diagonal ≈ 86.6 cm

Therefore, the largest length stick that could fit inside the box would be approximately 87 cm.