2011/12 AHSMC Part 1 Problem 2

Problem 2 of 16

Mini-marshmallows are cubes $1$ centimetre on each side, while giant marshmallows are cubes $3$ centimetres on each side. The number of mini-marshmallows whose combined surface area is the same as the surface area of one giant marshmallow is

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Solution

The surface area of a mini-marshmallow is $6$ square centimetres while that of a giant marshmallow is $54$ square centimetres. Thus the desired number of mini-marshmallows is $54 \div 6 = 9$ . The answer is (C).

University of Alberta

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