OHMIC CAD Studio
Draft, measure, dimension, layer, analyze, print, and export precise geometric designs.
Open CAD StudioUnit 11 · Weeks 30, 31
Solids, Surface Area & Volume
How do nets, cross-sections, similarity, and dimensional reasoning describe and compare three-dimensional forms?
Lesson sequence
7 visual, printable lessons
Lesson 01
Prisms, Cylinders & Cavalieri’s Principle
Compare solids with equal base area and height and use prism or cylinder volume.
Lesson 02Pyramids and Cones
Use nets, cross-sections, Cavalieri’s principle, and dimensional reasoning to calculate and compare surface area and volume.
Lesson 03Spheres: Surface Area and Volume
Use nets, cross-sections, Cavalieri’s principle, and dimensional reasoning to calculate and compare surface area and volume.
Lesson 04Nets and Surface Area of Prisms and Pyramids
Build or interpret nets and avoid double-counting shared edges or hidden faces.
Lesson 05Surface Area of Cylinders and Cones
Use nets, cross-sections, Cavalieri’s principle, and dimensional reasoning to calculate and compare surface area and volume.
Lesson 06Cross-Sections and Solids of Revolution
Predict two-dimensional slices and connect rotations of plane figures to solids.
Lesson 07Similarity, Scale and Volume Relationships
Use k, k², and k³ to compare corresponding lengths, areas, and volumes.
Connected laboratories
Geometry beyond the worksheet
Foundation
Vocabulary, marked diagrams, guided constructions, and reduced-complexity practice.
Open FoundationCore
Complete grade-level reasoning, calculation, proof, and printable evidence.
Open CoreExtended
Generalization, proof revision, optimization, design, and transfer.
Open Extended