### Home > INT2 > Chapter 12 > Lesson 12.2.1 > Problem 12-68

12-68.

A rectangular prism has a cylindrical hole removed, as shown at right Homework Help ✎ If the length of the radius of the cylindrical hole is 0.5 cm, what is the volume of the solid?

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 = π*r*²*h**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