9-5 Exploring Similar Solids

Video Tutor Help Finding the surface area and volume of similar solidsFinding the surface area and volume of similar solids (9-5) Finding surface areas of prisms using a formulaFinding surface areas of prisms using a formula (9-5) Finding surface areas of cylinders using a formulaFinding surface areas of cylinders using a formula (9-5) Finding surface areas of prisms using a netFinding surface areas of prisms using a net (9-5)

Video Tutor Help Naming a three-dimensional figure Finding the volumes of prisms Finding the volumes of cylinders Finding the volume of cones Finding the volume of pyramids Finding surface areas of spheres using a formula Finding the volumes of spheres Finding the surface area and volume of similar solid

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 9-5 Practice 9-5 Guided Problem Solving 9-5

Vocabulary Practice Vocabulary 9A: Graphic Organizer Vocabulary 9B: Reading Comprehension Vocabulary 9C: Reading/Writing Math Symbols Vocabulary 9D: Visual Vocabulary Practice Vocabulary 9E: Vocabulary C Vocabulary 9F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

Additional Lesson Examples Step-by-Step Examples Lesson 9-5

Lesson Readiness Lesson Quiz Problem of the Day Lesson 9-5

Example 6-1a Determine whether the pair of solids is similar. Write a proportion comparing radii and heights. Find the cross products. Simplify. Answer:The radii and heights are not proportional, so the cylinders are not similar. Identify Similar Solids

Write a proportion comparing corresponding edge lengths. Find the cross products. Simplify. Answer:The corresponding measures are proportional, so the pyramids are similar. Example 6-1b Determine whether the pair of solids is similar. Identify Similar Solids

Exploring Similar Solids LESSON 9-5 The two triangular pyramids are similar. Find the value of x. Use corresponding parts to write a proportion. = X6X X = = X6X = 9 The base-edge length x is 9 in. Additional Examples

The surface area of a cylindrical vase is about 1,470 in. 2 and its volume is about 490 in. 3. The vase is similar to a drinking glass. The diameter of the vase is 6 in. and that of the drinking glass is 3 in. Find the surface area and volume of the drinking glass. Exploring Similar Solids LESSON 9-5 Write a proportion. surface area of drinking glass surface area of cylindrical vase = The ratio of the diameters is, or. So the ratio of the surface areas is,or Substitute the surface area of the glass. = s 1, S = 1 1,470 Write the cross products. S = Simplify. Additional Examples

(continued) Exploring Similar Solids LESSON 9-5 Write a proportion. volume of drinking glass volume of cylindrical vase = The surface area of the drinking glass is about 368 in. 2 If the ratio of the diameters is, the ratio of the volumes is, or Substitute the volume of the glass. = v v = Write the cross products. v = Simplify. The volume of the drinking glass is about 61 in. 3 Additional Examples