Heated Toys

Philip forms three equal portions of leftover mashed potatoes into three shapes: a cube, a sphere, and a cylinder. Each portion is heated in the oven to the same uniform temperature.

When he takes the portions out of the oven and leaves them at room temperature, which shape takes the longest time to cool down?

Details and Assumptions:

  • Assume that the mashed potatoes are uniform in composition and that each shape is maintained throughout the process.
  • The mashed potatoes are suspended in the air.

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