Geometry Module 3, Topic B, Lesson 9

Students in library

Student Outcomes

  • Students understand that given similar solids A and B so that the ratio of their lengths is a:b, then the ratio of their volumes is a3:b3.
  • Students understand that if a solid with volume V is scaled by factors of r, s, and t in three perpendicular directions, then the volume is multiplied by a factor of r·s·t so that the volume of the scaled solid is (rst)V.

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★
G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a...
G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy...

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