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12-68.
  1. A rectangular prism has a cylindrical hole removed, as shown at right Homework Help ✎

    1. If the length of the radius of the cylindrical hole is 0.5 cm, what is the volume of the solid?

    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?

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

Volume of cylinder = πr²h
v = π(0.5)²(6)
v = 1.5π ≈ 4.71 cm³

Volume of a cube = l · w · h
v = 5(2)(6) = 60 cm³

Volume of cube − volume of cylinder = 60 cm³ − 4.71 cm³

≈ 55.3 cm³