The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 324 m3. what is the surface area of the smaller solid?

Question

Anthony Johns

Mathematics

28 November, 14:33

The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 324 m3. what is the surface area of the smaller solid?

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Alexis Horton · Answer 1

Two solids are said to be similar when their corresponding sides and angles are proportional and congruent. Since the solids here are similar, we calculate as follows:

Assuming the solid is a sphere

V1/V2 = r1^3 / r2^3 = 1331/216 = 6.16203

r1/r2 = 11/6

A1/A2 = (r1/r2) ^2

324/A2 = (11/6) ^2

A2 = 42.84 m^2