11.9 ∼ Solids Mrs. vazquez Geometry.

Slides:

Advertisements

Similar presentations

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

Advertisements

EXAMPLE 2 Use the scale factor of similar solids Packaging

Chapter Similar Solids Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are.

Do now: These cuboids are all made from 1 cm cubes

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.

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

12.7 Similar Solids Geometry Mrs. Spitz Spring 2006.

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

Surface Area and Volume

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.

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.

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

Chapter 12.1 Notes Polyhedron – is a solid that is bounded by polygons, called faces, that enclose a single region of space. Edge – of a polygon is a line.

10-8 Areas and Volumes of Similar Solids

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

Similar Ratios Are the following similar and if so what is their ratio? / 6 1 / 2 2 / 4 1 / 2 3 / 6 1 / 2 Yes, 1:2.

Warm-Up #1 11/30 1. Write down these 3 formulas:

Remember these!? Surface Area of a Prism = ph +2B

Skyler Cornaby and Lyndon Crouch 13-4 SIMILAR AND CONGRUENT SOLIDS.

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.

Geometry/Trig 2 Unit 10 – Total Area and VolumeName: ____________________________________ page 1.

G.14 The student will use similar geometric objects in two- or three-dimensions to a. compare ratios between side lengths, perimeters, areas, and volumes;

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

Opener Find the volume of each figure. 2) 1) V = cm 3 V ≈ 2,143,573 km 3 4 cm 80 km.

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)

The Fundamental Theorem of Similarity. The FTS I 5 II Find the scale factor (ratio of similitude):

Lesson 12-4 Spheres (page 497)

Lesson: Surface Area of Solids

Lesson: Volumes of Solids

Lesson: Solids & Cross Sections

Scaling Three-Dimensional Figures

8.4 Volume and Areas of Similar Figures

12-5: Area and Volumes of Similar Solids

Similar Solids and Scale Factor

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

13.4 Congruent and Similar Solids

EXAMPLE 2 Use the scale factor of similar solids Packaging

3.2 Use || Lines and Transversals

Congruent and Similar Solids

5.1 Midsegment Theorem and Coordinate Proof

Lesson 9-5 Similar Solids.

Areas and Volumes of Similar Solids

5.5 Use Inequalities in a ∆ Mrs. vazquez Geometry.

Lesson: Similar Solids

Give Chapter 12 HW on Thursday test day

11.5 Explore Solids Mrs. vazquez Geometry.

Surface Area & Volume Practice

11.6 Volume of Prisms and Cylinders

11.8 Surface Area and Volume of Spheres

11.3 Area of Regular Polygons

4.6 Prove ∆s ≅ by ASA and AAS Mrs. vazquez Geometry.

Similar Shapes.

9.5 Apply Compositions of Transformations

2.7 Prove ∡ Pair Relationships

6.1 Use Similar(~) Polygons

10.3 Apply Properties of Chords

3.6 Prove Theorems about ⊥Lines

11.7 Volume of Pyramids and Cones

EXAMPLE 2 Use the scale factor of similar solids Packaging

Lesson 9-5: Similar Solids

4.2 Apply Congruence and ∆s

4.8 Use Isosceles and Equilateral ∆s

10.6 Find Segment Lengths in ⊙s

11.1 Circumference and ⁀ Length

10.5 Apply Other ∡ Relationship in ⊙s

Lesson 9-5: Similar Solids

Presentation transcript:

11.9 ∼ Solids Mrs. vazquez Geometry

g-gmd.1.3 Essential Question: What is the difference between surface area and volume of spheres? Objective: Students will be able to calculate volume and surface area of spheres.

theorems ~ Solids Thm: If two ~ solids have a scale factor of a:b, then corresponding areas have a ratio of a2:b2, & corresponding volumes have a ratio of a3:b3.

Solve Cube C has a SA of 54units2 & cube D has a SA of 150units2. Find the scale factor of C to D. Find the edge length of C & use the scale factor to find the volume of D.