Three identical tanks are shown above. The spheres in a given tank are the same size and packed wall-to-wall. If the tanks are filled to the top with water, then which tank would contain the most water?
A solid sphere of chocolate has a volume of . 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:
How many cubes measuring 2 units on one side must be added to a cube measuring 8 units on one side to form a cube measuring 12 units on one side?
What is the volume of the octahedron inside this cube?
A chocolate shop sells its products in 3 different shapes: a cylindrical bar, a spherical ball, and a cone. These 3 shapes are of the same height and radius, as shown in the picture. Which of these choices would give you the most chocolate?