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There are 3 stacking dolls in a set. The dolls are mathematically similar and have heights of 5cm,10cm and 15cm. The surface area of middle doll is 80cm^2 and the volume of the largest doll is 216cm^2. Find the surface area and volume of the smallest doll.
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The sets of nested dolls may include as few as three or as many as 25 nests or dolls; historically, sets containing up to 1,800 dolls are known. A typical set contains three to twelve dolls.
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