The volume of a cube is numerically equal to six times the sum of the lengths of its edges. What is the volume, in cubic units, of the cube? Express your answer in simplest radical form.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The volume of a cube is numerically equal to six times the sum of the lengths of its edges. What is the volume, in cubic units, of the cube? Express your answer in simplest radical form.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
432\sqrt{2}
The volume of a cube is numerically equal to six times the sum of the lengths of its edges. What is the volume, in cubic units, of the cube? Express your answer in simplest radical form.
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