A cube has a side length of 10 cm. The cube is dilated by a scale factor of 5. How does the volume of the new cube compare to the volume of the original cube?

A dilation multiplies each side length by 5, so the new cube has side length 10 × 5 = 50 cm. Volume scales by the cube of the scale factor: 5³ = 125. Therefore, the new cube’s volume is 125 times the original volume, which is choice D.

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