### Home > CCG > Chapter 10 > Lesson 10.1.1 > Problem10-6

10-6.

A rectangular prism has a cylindrical hole removed, as shown below. Homework Help ✎

1. If the length of the radius of the cylindrical hole is $0.5$ cm, find the volume of the solid.

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

Volume of cylinder = $πr²h$
$\text{V} = π(0.5)²(6)$
$\text{V} = 1.5π ≈ 4.71\text{ cm}³$

Volume of a cube $= l · w · h$
$\text{V} = 5(2)(6) = 60\text{ cm}³$

Volume of cube − volume of cylinder$= 60\text{ cm}³ − 4.71\text{ cm}³$

$≈ 55.3\text{ cm}³$

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?