Solid Chocolate Puzzle

Geometry Level 1

A solid sphere of chocolate has a volume of 288π288\pi. The chocolate is then melted down and reshaped into a solid cube. Assume no chocolate was wasted.

Did the sphere have a greater surface area or does the cube?

Useful equations:

  • Volume of a sphere: V=43πr3V=\frac{4}{3}\pi r^3
  • Volume of a cube: V=a3V=a^3
  • Surface area of a sphere: A=4πr2A=4\pi r^2
  • Surface area of a cube: A=6a2A=6a^2

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