Solid Chocolate Puzzle

Geometry Level 1

A solid sphere of chocolate has a volume of \(288\pi\). 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: \(V=\frac{4}{3}\pi r^3\)
  • Volume of a cube: \(V=a^3\)
  • Surface area of a sphere: \(A=4\pi r^2\)
  • Surface area of a cube: \(A=6a^2\)

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