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) ?
Responses
A 80 cm80 cm
B 86 cm86 cm
C 90 cm90 cm
D 96 cm96 cm
E 100 cm
Responses
A 80 cm80 cm
B 86 cm86 cm
C 90 cm90 cm
D 96 cm96 cm
E 100 cm
Answers
GPT 3.5
The largest length stick that could fit inside the box would be equal to the diagonal of the box, which can be calculated using the formula for the diagonal of a rectangular box:
√(length^2 + width^2 + height^2)
√(40^2 + 30^2 + 70^2)
√(1600 + 900 + 4900)
√(7400)
86 cm
Therefore, the correct answer is B) 86 cm.
√(length^2 + width^2 + height^2)
√(40^2 + 30^2 + 70^2)
√(1600 + 900 + 4900)
√(7400)
86 cm
Therefore, the correct answer is B) 86 cm.
Are u sure
GPT 3.5
Let's re-calculate to confirm:
Using the Pythagorean theorem, the diagonal of the rectangular box with length = 40 cm, width = 30 cm, and height = 70 cm can be found as follows:
Diagonal = √(length^2 + width^2 + height^2)
Diagonal = √(40^2 + 30^2 + 70^2)
Diagonal = √(1600 + 900 + 4900)
Diagonal = √(7400)
Diagonal ≈ 86.12 cm
Rounded to the nearest cm, the largest length stick that could fit inside the box is 86 cm.
Therefore, the correct answer is B) 86 cm.
Using the Pythagorean theorem, the diagonal of the rectangular box with length = 40 cm, width = 30 cm, and height = 70 cm can be found as follows:
Diagonal = √(length^2 + width^2 + height^2)
Diagonal = √(40^2 + 30^2 + 70^2)
Diagonal = √(1600 + 900 + 4900)
Diagonal = √(7400)
Diagonal ≈ 86.12 cm
Rounded to the nearest cm, the largest length stick that could fit inside the box is 86 cm.
Therefore, the correct answer is B) 86 cm.