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In this activity students determine how to divide a square cake into six pieces with equal volume and surface area. The activity, part of the Figure This! collection of 80 math challenges emphasizing math in the real world, explains why properties of three-dimensional objects can be determined by examining their two-dimensional faces. Students see how to use the perimeter measurement of the cake to find two possible ways to divide it. The activity page contains links to a solution hint, the solution, family activities, and questions about dividing other shapes. A theorem by Francesco Bonaventura Cavalieri is described and illustrated. Also included is information from the Guinness Book of Records about the world's largest cake. Copyright 2005 Eisenhower National Clearinghouse
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