In this lesson, students continue their analysis of the connections between geometric measurement and dimension by studying the results of dilating a three-dimensional solid.

The Warm-up allows students to recall, by examining cubes, how to find the volume of an object. Then they extend their knowledge of dilated areas to surface areas, and they investigate the relationship between scale factor and volume to find that dilating by a scale factor of multiplies the volume by . 

Students have the opportunity to construct viable arguments (MP3) when they explain why the property, that dilating by a factor of multiplies volume by , applies to all solids.