Review Opening Routine Find the surface area for the following two figures. Show all work for credit!

Slides:

Advertisements

Similar presentations

Chapter 12 – Surface Area and Volume of Solids

Advertisements

Preparation for MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic.

Notes on Intro to 3D Figures

Problem of the Day If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom? 2.

Volume of Rectangular Prism and Cylinder Grade 6.

Confidential 2 Warm Up Find the Surface area of each rectangular Prism to the nearest tenth 5.5cm 2.3cm 10cm in. 6.2 in. 5.4 in cm

Surface Areas of Pyramids Unit 5, Lesson 4

Surface Area and Volume Three-Dimensional Figures and.

Volume of Rectangular Prisms

10-1 Introduction to Three-Dimensional Figures Warm Up

10-1 Introduction to 3D figs

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 9.4 Volume and Surface Area.

Surface Area and Volume

Chapter 10: Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

Holt CA Course Three-Dimensional Figures Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

8-7 Introduction to Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

Prisms Lesson 11-2.

11.4 Volumes of Prisms and Cylinders

Geometry Jeopardy! Ch 1-6 Formulas & Definitions SA of Prisms & Cylinders SA of Cones & Pryamids Volume of Prisms & Cylinders Volume of Cones & Pyramids.

SOLID FIGURES SPI

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.

11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)

Holt CA Course Three-Dimensional Figures Preparation for MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area.

Review Opening Routine Find the volume for the following two figures. Show all work for credit!

Identify the Faces, Edges, Vertices.

9-5 Volume of Prisms and Cylinders Warm Up Identify the figure described. 1. two triangular faces and the other faces in the shape of parallelograms 2.

8-8 Volume of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Learn to identify various three-dimensional figures.

Warm Up Identify each two-dimensional figure described.

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

Holt CA Course Three-Dimensional Figures Warm Up Warm Up Lesson Presentation California Standards Preview.

Surface area & volume UNIT 4. Prisms SECTION 1  Prism: three dimensional shape with two parallel sides  Bases: sides parallel to each other  Lateral.

Net Review Opening Routine The net at the right folds into the cube shown beside it. Which letters will be on the top and front of the cube if A is folded.

What is a 3 D shape?  A 3 D shape has a length, width and height. A shape that has thickness.

Three Dimensional Figures

Learn and apply the formula for the surface area and volume of a prism. Learn and apply the formula for the surface area and volume of a cylinder. Objectives.

Geometric Solids Volume of Prisms & Cylinders. Polyhedrons One type of geometric solids is a polyhedron A solid with flat faces – each face is a polygon.

Learn and apply the formula for the surface area and volume of a pyramid. Learn and apply the formula for the surface area and volume of a cone. Objectives.

9-4 Introduction to Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

Holt Geometry 10-5 Surface Area of Pyramids and Cones 10-5 Surface Area of Pyramids and Cones Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone.

Prism A solid object with two identical bases and flat sides. If you slice a prism parallel to the bases (like bread), the cross sections are identical.

Warm-Up: p.22 Find the lateral area and surface area of each prism. 1.

Volume of Pyramids and Cones

Objectives Learn and apply the formula for the volume of a pyramid.

9-1 Introduction to Three-Dimensional Figures Warm Up

Goal: Identify and name solid figures.

Unit 11: 3-Dimensional Geometry

Warm Up Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a square prism with base area 189 ft2 and height 21 ft 2. a regular.

Section 9.4 Volume and Surface Area

Preview Warm Up California Standards Lesson Presentation.

Section 9.4 Volume and Surface Area

Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.

Unit 11: 3-Dimensional Geometry

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

11.3 Surface Areas of Pyramids and Cones

Objectives Learn and apply the formula for the volume of a pyramid.

Volume of Pyramids and Cones

Lesson 10.3 Three-Dimensional Figures

10-1 Introduction to Three-Dimensional Figures Warm Up

9-1 Introduction to Three-Dimensional Figures Warm Up

Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.

Understanding Solid Figures

Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.

Objective - To identify solid figures.

Lesson 4 Volume of Prisms

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Presentation transcript:

Review Opening Routine Find the surface area for the following two figures. Show all work for credit!

INTRODUCTION Objective: To find the surface area of a pyramid and cone. To find the volume of a prism and the cylinder. Essential Question: How do you find the surface area of a pyramid? What is needed to calculate the lateral and surface areas of a cone? Why do we measure the volume of a prism or a cylinder?

A pyramid is a polyhedron in which one face can be an polygon and the other faces are triangles that meet at a common vertex. A regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles.

Volume is the space that a figure occupies. The volume V of a cube is the cube of the length of its edge e, or V = e 3. Cavalier’s Principle: If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume.

I Do What is Ms AJ thinking? 1.What is the surface area of the hexagonal pyramid? 1.The Pyramid of Cestius is located in Rome, Italy. Using the dimensions in the figure below, what is the lateral area of the Pyramid of Cestius? Round to the nearest square meter.

I Do What is Ms AJ thinking? 3. What is the surface area of the cone in terms of pi? 4. In a chemistry lab experiment, you use the conical filter funnel shown at the right. How much filter paper do you need to line the funnel?

I Do What is Ms AJ thinking? 5. What is the volume of the rectangular prism at the right? 6. What is the approximate volume of the triangular prism?

I Do What is Ms AJ thinking? 7. What is the volume of the cylinder in terms of pi? 8. What is the volume of the rectangular prism at the right?

We DO What should We be thinking? Got It! Pagina 738 #1a Got It! Pagina 739 #2a Got It! Pagina 743 #3,4a Got It! Pagina 752 #1a Got It! Pagina 753 #2a Got It! Pagina 754 #3a, 4

You Do What should You be thinking? Lesson Check! Pagina 740 #1-5 Lesson Check! Pagina 744 #1-3

Exit Ticket/Conclusion Do you remember? Why do we measure the volume of a prism or a cylinder? Answer: In real-life, there are times when we need to know the amount of space inside a prism or a cylinder. The formulas for the volume of a prism or cylinder help us to measure this.