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12-68.

A rectangular prism has a cylindrical hole removed, as shown at right. 

  1. If the length of the radius of the cylindrical hole is cm, what is the volume of the solid?

    Volume of cube − volume of cylinder = volume of solid.

    Volume of cylinder

    Volume of a cube

    Volume of cube − volume of cylinder

  2. What could this geometric figure represent? That is, if it were a model for something that exists in the world, what might it be? Also, how might you change it to make it a better model?

A rectangular prism, labeled as follows: front bottom edge, 5 cm, right side bottom edge, 2 cm, right side back edge, labeled 6 cm.  A dashed cylinder, with solid, top circle, in center of top side, in center of prism.