If the volume of a 2-cm-by-2cm-by-2cm cube is increased by 19 cubic centimeters to form a larger cube, what is the length in centimeters of one edge of the new cube?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If the volume of a 2-cm-by-2cm-by-2cm cube is increased by 19 cubic centimeters to form a larger cube, what is the length in centimeters of one edge of the new cube?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
If the volume of a 2-cm-by-2cm-by-2cm cube is increased by 19 cubic centimeters to form a larger cube, what is the length in centimeters of one edge of the new cube?
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