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 additional investigations Pyramid in a Box: Determine the probability that a point lies in a particular area. Maximum Surface Area: Investigate the relationship between surface area and volume in a solid with square faces. Octahedron in a Cube: Determine the probability that a point lies in a particular area. Right and Oblique Cylinders: Examine surface area and volume of a right cylinder and an oblique cylinder. Nets of a Cube: Devise nets to a cube. Creating a Polyhedron: Determine the properties of Polyhedra. Faces, Vertices, and Edges: Find a relationship between the number of edges, faces and vertices in three-dimensional objects. Peeling an Orange: Use an orange's peel to discover a formula relating the surface area to a sphere's radius. Soma Cubes: Create your own set of soma cubes pieces and explore how they can fit together. Netting a Maximum: Find the largest-volume box that Julia can construct. Comparing Properties: Find the ratio of the volume of a cube to the surface area. Face Painting: Determine the volume of the prism that was formed if a certain number of its faces were not painted. Paint Less Cubes: How many of the one-inch cubes will have no paint on them? Submit your idea for an investigation to InterMath.