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.