## Paint Less Cubes

How many of the one-inch cubes will have no paint on them?

## Face Painting

Determine the volume of the prism that was formed if a certain number of its faces were not painted.

## Comparing Properties

Find the ratio of the volume of a cube to the surface area.

## Netting a Maximum

Find the largest-volume box that Julia can construct.

## Soma Cubes

Create your own set of soma cubes pieces and explore how they can fit together.

## Peeling an Orange

Use an orange’s peel to discover a formula relating the surface area to a sphere’s radius.

## Faces, Vertices, and Edges

Find a relationship between the number of edges, faces and vertices in three-dimensional objects.

## Creating a Polyhedron

Determine the properties of Polyhedra.

## Nets of a Cube

Devise nets to a cube.

## Right and Oblique Cylinders

Examine surface area and volume of a right cylinder and an oblique cylinder.

## Octahedron in a Cube

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.

## Pyramid in a Box

Determine the probability that a point lies in a particular area.