Lesson 12.7

Explore Similar Solids

Objective

• Students will use properties of similar solids

Standard

• 11.0 – Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.

• 8.0 – Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.

Academic Language

• Similar Solids

Explain Why

Similar Solids

• Two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii

Think/Pair/Share

• Think back to similar polygons we studied earlier this year. What was true about the ratios of side lengths and perimeters? Side length ratios and Area ratios?

• What do you predict with be the relationship between the ratio of the side lengths and volumes of similar polyhedra?

Things are just peachy!

Homework

• p.850 #1, 2, 3, 5, 7, 9, 11, 12, 14, 17, 19