Total Edge Length, Surface Area, and Volume

This Instructional Activity is a part of the Lesson 8, Unit 2, Grade 7. This activity builds on the perimeter and area activity from the warm-up. Its goal is to use a context familiar from grade 6 to compare proportional and nonproportional relationships. The units for the quantities are purposely not given in the task statement to avoid giving away which relationships are not proportional. However, discussion should raise the possible units of measurement for edge length, surface area, and volume. The focus of this task is whether or not relationships between the quantities are proportional, but there is also an opportunity for students to reinforce their understanding of geometry.