Question 1120161
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In reality, the problem makes no sense at all, because of a commonly used expression which in fact has no logical meaning.<br>
To say each dimension will be made "6 times smaller" (than the actual value x) means the dimension is going to be "x minus 6 times x", which is x-6x = -5x.  Clearly a negative dimension is nonsense.<br>
In general, the phrase "x is n times smaller than y" has no logical meaning.  Unfortunately it is widely used in everyday language.  It is sad that you see it in math textbooks and other resources.<br>
What the problem really means is that each dimension is going to be 1/6 of the actual dimension.  And in that case, you are right in that the volume of the model will be 1/216 of the actual volume.<br>
So, to continue with the bad grammar that the problem uses, the answer to the first question has to be that the volume is "216 times smaller".<br>
As for the second question, about the percent change in the volume, you tried to convert your answer 1/216 to a percent.  But the 1/216 is not the fractional change; it is what is "left" after the change.  The fractional change is 215/216.  So presumably the answer to part b of the question is the fraction 215/216 converted to a percent.