Warm Up A shape has 5 faces, and 5 vertices how many edges does the shape have? A sphere has a radius of 7.5, what is its surface area and volume? What.

Slides:

Advertisements

Similar presentations

Advertisements

EXAMPLE 6 Solve a multi-step problem TERRARIUM

Volume of Rectangular Prisms

EXAMPLE 1 Find the number of unit cubes 3- D PUZZLE

EXAMPLE 2 Use the scale factor of similar solids Packaging

Lesson 9-5: Similar Solids

Solid Figures: Volume and Surface Area Let’s review some basic solid figures…

Volume of Rectangular Prisms

12-8 Congruent and Similar Solids

12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.

Warm Up 1.) Find the area of the hexagon.

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

Volume word problems Part 2.

VOLUME Volume is a measure of the space within a solid figure, like ball, a cube, cylinder or pyramid. Its units are at all times cubic. The formula of.

Pyramids Surface Area and Volume. Suppose we created a rectangular pyramid from a rectangular prism. Suppose we conducted an experience similar to yesterday’s.

12.7 Similar Solids Geometry Mrs. Spitz Spring 2006.

Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. Round to the nearest tenth. Find the.

12.7 Similar Solids. Vocabulary  Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar.

GEOMETRIC SOLIDS 1 Similar Solids. SIMILAR SOLIDS 2 Definition: Two solids of the same type with equal ratios of corresponding linear measures (such as.

Warm-Up Exercises 1. Regular hexagon, side length 14 cm ANSWER cm 2 Find the area of each polygon or circle.

Cornell Notes Today Volume

EXAMPLE 1 Find the volume of a solid Find the volume of the solid. V = Bh 1 3 = 36 m 3 a.a. = ( 4 6)(9)

10-8 Areas and Volumes of Similar Solids

Warm-Up Exercises 1. Right rectangular prism, side lengths 8 in., 5 in., and 10 in. 2. Right cone, radius 3 m, height 4 m ANSWER 340 in. 2 ; 400 in. 3.

Lesson 11-7 Similar Solids. Two solids of the same type with equal ratios of corresponding linear measures are called similar solids.

12-7 Similar Solids Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Lesson 9-5: Similar Solids

Section 12.7 Explore Similar Solids. Homework none.

GEOMETRY HELP Are the two solids similar? If so, give the similarity ratio. Both solid figures have the same shape. Check that the ratios of the corresponding.

Lesson 9-1: Area of 2-D Shapes 1 Part 1 Area of 2-D Shapes.

EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.

Scaling Three-Dimensional Figures

8-10 Scaling Three-Dimensional Figures Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Lesson 4 Menu 1.Find the volume of the sphere. Round to the nearest tenth. 2.Find the volume of the hemisphere. Round to the nearest tenth. 3.Find the.

Area and Volume Ratios 8.6.

11.5 Explore Solids & 11.6 Volume of Prisms and Cylinders

By: David Samkutty and Viet Tran Blah ™. Objectives Identify Congruent or Similar Solids State the properties of similar solids.

Volume of 3D Solids. Volume The number of cubic units needed to fill the shape. Find the volume of this prism by counting how many cubes tall, long, and.

What are these shapes? squarecircletrianglerectangle How many sides do each have? How many points do each have?

12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

Surface Area and Volume of Similar Figures Section 12.7.

Pre-Algebra 7-9 Scaling Three-Dimensional Figures Pre-Algebra Homework Page 378 #10-18 & #32-39 (SR) Answers.

12.7 Exploring Similar Solids Hubarth Geometry. Two solids of the same type with equal ratios of corresponding linear measures, such as height or radii,

Similar Solids definition Similar Solids Two solids in which their corresponding linear measures form equal ratios

10-8 Areas and Volumes of Similar Solids Theorem Theorem Similar Solids Similar Solids Similarity Ratio Similarity Ratio.

∆ Identify congruent or similar solids. ∆ State the properties of similar solids.

Group 6 Period 5 Problems Mac Smith, Jacob Sweeny Jack McBride.

12.7 Similar Solids Geometry. Objectives Find and use the scale factor of similar solids. Use similar solids to solve real-life problems.

Similar Solids 12.7 Geometry. Similar Solids Two solids of the same type with equal ratios of corresponding linear measures (such as heights or radii)

Surface Area and Volume of Similar Figures

8-10 Scaling Three-Dimensional Figures Warm Up Problem of the Day

Scaling Three-Dimensional Figures

Similar Solids and Scale Factor

12.7 Similar Solids THE LAST ONE!!!!!!! WOO-HOO!!!!!!!

13.4 Congruent and Similar Solids

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Identify congruent or similar solids.

Lesson 9-5: Similar Solids

EXAMPLE 2 Use the scale factor of similar solids Packaging

Lesson 9-5 Similar Solids.

Areas and Volumes of Similar Solids

Similar Shapes.

EXAMPLE 2 Use the scale factor of similar solids Packaging

Volume Ratios of Similar Solids

12.4 Volume of Prisms and Cylinders

Lesson 9-5: Similar Solids

Five-Minute Check (over Lesson 11–5) Mathematical Practices Then/Now

Lesson 9-5: Similar Solids

8-10 Scaling Three-Dimensional Figures Warm Up Problem of the Day

Presentation transcript:

Warm Up A shape has 5 faces, and 5 vertices how many edges does the shape have? A sphere has a radius of 7.5, what is its surface area and volume? What is the surface area and volume of the shape?

Exploring Similar Solids 12.7

What is similar

EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.

EXAMPLE 1 Identify similar solids SOLUTION The prisms are similar because the ratios of corresponding linear measures are all equal. The scale factor is 2:3. ANSWER The prisms are not similar because the ratios of corresponding linear measures are not all equal. ANSWER a. Lengths 4 8 Widths 2 4 Heights 2 2 b. Lengths 4 6 Widths 2 3 Heights = 1 2 = 1 1 = 2 3 =

GUIDED PRACTICE for Example 1 Tell whether the pair of right solids is similar. Explain your reasoning. 1.

GUIDED PRACTICE for Example 1 SOLUTION The solids are similar because the ratios of corresponding sides is in the ratio 4:3 ANSWER 4 3 = Lengths = Lengths 12 9

Ratio What is the pattern? Side: Surface Area: Volume:

Formula

EXAMPLE 3 Find the scale factor The pyramids are similar. Pyramid P has a volume of 1000 cubic inches and Pyramid Q has a volume of 216 cubic inches. Find the scale factor of Pyramid P to Pyramid Q.

EXAMPLE 3 Find the scale factor SOLUTION Use Theorem to find the ratio of the two volumes. a3a3 b3b3 = The scale factor of Pyramid P to Pyramid Q is 5:3. ANSWER Write ratio of volumes. Find cube roots. Simplify. a b = 6 10 a b = 5 3

GUIDED PRACTICE for Examples 2, 3, and 4 Cube C has a surface area of 54 square units and Cube D has a surface area of 150 square units. Find the scale factor of C to D. Find the edge length of C, and use the scale factor to find the volume of D. 3. SOLUTION a2a2 b2b2 = Write ratio of volumes. Find square roots. Simplify. a b = 5 3 a b = 3 5 Use Theorem to find the ratio of the two properties.

GUIDED PRACTICE for Examples 2, 3, and 4 C edge D edge = 3 5 Use Scale Factor. Find the edge length. Surface area = 54 square units Single side = 9 units Edge length = 3 units Find volume of D D edge = 5 Volume of D=125 square units

Homework Page – # odd