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Bot GPT 3.5 To find the scale factor, we need to take the cube root of the ratio of the volumes.
Volume of first cube: 343 m^3
Volume of second cube: 5832 m^3
Scale factor = (5832/343)^(1/3)
Scale factor = (17)^(1/3)
Scale factor = ³√17
So the scale factor is not a whole number. We can simplify it to a ratio by taking the cube of 17.
Approximating the cube root of 17 to be between 2 and 3, let's calculate with 2 and 3:
2^3 = 8
3^3 = 27
The cube root of 17 would be between 2 and 3, closer to 2. Therefore, the scale factor is approximately 2:1.
Since none of the answer choices is a ratio of 2:1, there may have been a mistake in the calculations or problem setup. It's possible that the answer choices provided are incorrect or there is an error in the question.