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450 mm2

Ratio of areas is the square of the ratio of lengths.

Ratio of volumes is the cube of the ratios of lengths.

If the volumes are in the ratio of 512 to 3375, then the lengths are in the ratio of:

3√512 : 3√3375 = 8 : 15

⇒ ratios of areas:

82 : 152 = 64 : 225

⇒ as smaller has surface area of 128 mm2, the larger has:

surface_area = (128 ÷ 64) x 225 mm2

= 450 mm2

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