3D models and Volume

Lesson Prerequisites: Students know how to find the volume of cylinders, cones, and spheres.

Aligned Standards:
CCSS.8.G.9 - Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
CCSS.MP.1 - Make sense of problems and persevere in solving them.
CCSS.MP.5 - Use appropriate tools strategically.
CCSS.MP.6 - Attend to precision.

Lesson Outline:
Students will be tasked with creating 3D models of cylinders, cones, and spheres that can be filled with specific volumes of water.
They will need to design and 3D print one of each shape to hold 50 mL, 75 mL, and 115 mL.
Models will be tested using a graduated cylinder.
Students will be working in groups of 3 to complete this task. They will need to communicate and work collaboratively to design the models using the formulas for volume.
All models that the class creates will be compared and contrasted by the students. They will reflect on why more than one model can hold the same volume of water despite having different dimensions.