Cube of a Binomial


Some things you might ask or try

1. Notice that we have a purple segment of length end-to-end with a gold segment of length . How long is the side of the large cube? 2. What is the volume of the large cube? 3. Move the slider (top frame) to separate the eight small prisms. Prisms of the same color are congruent. What are the dimensions and volumes of the eight prisms? 4. Drag the large blue point if you want to change the side lengths. 5. How does the color coding connect the shapes with the formula?
Special thanks to John Diamantopoulos for motivating this applet.