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Changing Cubes

What happens to the surface area of a cube when all the dimensions are doubled? tripled?

What happens to the volume of a cube when all the dimensions are doubled? tripled?

If you want to increase the volume of a cube by 216 cubic units, how should you change the dimensions of the cube?

Repeat the investigation above using a rectangular prism and a cylinder.

 Extensions

What happens to the surface area and volume of a rectangular prism and cylinder when only one dimension is modified? How about if two of the dimensions are modified?

 Related External Resources

Studying Polyhedra [ java applet ]
This java applet allows you to examine various polyhedra from multiple viewpoints. There are also external links available to learn more about polyhedra on the web.

Cube / Rectangular Prism Activity
Activity to get students to think about the linear measurements and the corresponding area and volume measurements of the cube and the rectangular prism.

Submit your idea for an investigation to InterMath.