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The volumes of two similar figures are 512 mm3 and 3375mm3. If the surface area of the smaller figure is 128mm2. What is the surface area of the larger figure?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y ago
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