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Understanding Volumes and Surface Areas of Solids in Geometry

This lesson focuses on the computation of volumes and surface areas for various geometric solids including prisms, pyramids, cylinders, cones, and spheres. Students will memorize key formulas for calculating volumes and surface areas of prisms, pyramids, and cylinders. The lesson also introduces terms such as concave, convex, regular, and nonregular solids, as well as the concept of Platonic solids and cross-sections. For homework, students are assigned problems from page 798 to reinforce their understanding.

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Understanding Volumes and Surface Areas of Solids in Geometry

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  1. Objective • Identify solids

  2. Standard • Prep 9.0 – Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders

  3. My kind of question

  4. Concave/Convex/Regular/Nonregular

  5. Yes, they are only friends, nothing more Platonic Solids

  6. Cross section Intersection of the plane and the solid

  7. Homework • p.798 #1, 2, 3, 6, 9, 11, 17, 25, 34

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