Question
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)
Answers
Answered by
GPT 3.5
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.
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.
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