This lesson develops the concept of volume as the area of the base multiplied by the height. Instead of simply transferring formulas from a formula sheet, students construct the formulas base on the area formulas they already know. Then, they are challenged to apply the formulas to new problems, including working backwards to find the a dimension rather than the volume.
This is one of 12 lessons in my "In and Out" unit that targets area and volume for 7th graders in the advanced track. The goal of the unit is to build understanding of why the formulas for area and volume work, such that if students forget the formulas, they can cognitively reconstruct them on their own.