Chapter 10: Surface Area and Volume

Slides:

Advertisements

Similar presentations

Chapter 12 – Surface Area and Volume of Solids

Advertisements

Chapter 12. Section 12-1  Also called solids  Enclose part of space.

Lateral Area, Surface Area, and Notes

Surface Areas of Pyramids Unit 5, Lesson 4

Lesson 9-2: Prisms & Pyramids 1 Prisms and Pyramids Lesson 9-2.

Surface Area & Volume G.13.

Surface Area and Volume

 A Polyhedron- (polyhedra or polyhedrons)  Is formed by 4 or more polygons (faces) that intersect only at the edges.  Encloses a region in space. 

Chapter 12 Notes.

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

CHAPTER 5 MEASUREMENT.

1 Prisms and Pyramids Mrs. Moy. Lesson 9-2: Prisms & Pyramids 2 Right Prisms Lateral Surface Area (LSA) of a Prism = Ph Total Surface Area (TSA) = Ph.

Chapter 11.3 Surface Areas of Pyramids and Cones.

Chapter 11: Surface Area & Volume

The Pyramid Geometric Solids:. Solid Geometry Review: Solid Geometry is the geometry of 3D- dimensional space that we live in. The three dimensions are.

Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

Surface Area, Lateral Area, and Volume of Prisms and Pyramids

Surface Area The sum of the area of all the faces of a polyhedron.

Section 12-1 Name the Solids. Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in.

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

Identify the Faces, Edges, Vertices.

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

Section 12.3 Notes.

8.2 Surface Area Objectives:

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

Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.

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

Surface Areas of Pyramids Section Find the Surface Area… Find the surface area of a cylinder with a diameter of 10cm and a height of 15cm.

Chapter 11: Surface Area and Volume Section 11-2: Surface Areas of Prisms and Cylinders.

Lesson : Prisms & Pyramids 1 Prisms and Pyramids.

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

11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.

Surface Areas 8.7 Surface Area. Objective Apply the surface area formula to various 3-dimensional figures in order to find the area 8.7 Surface Area.

Boyd/Usilton.  A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.  A regular pyramid.

Chapter 11: Surface Area and Volume Section 11-3: Surface Areas of Pyramids and Cones.

José Pablo Reyes 10 – 5.  Square: multiply the base times its self  Rectangle: multiply the base times the height (bxh)  Triangle: multiply the base.

SURFACE AREA & VOLUME PYRAMIDS Unit 10 April 6, 2015.

Surface area & Volume of Pyramids Tutorial 13d Pyramids §A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces.

Chapter 10 Notes Area: Parallelograms Area of a figure is the number of square units it encloses. The stuff inside of a figure. Area of a Parallelogram:

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

Chapter 12 Group 6 P Crowley C Prince C King K Connell.

Opener. UNIT EQ: HOW DO YOU CALCULATE THE SURFACE AREA AND VOLUME OF A 3-DIMENSIONAL FIGURE Surface Area & Volume.

Surface area and Volume Ch Sol: G.10,12,13,14.

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

Prism & Pyramids. Lesson 9-2: Prisms & Pyramids2 Right Prism Lateral Area of a Right Prism (LA) = ph Surface Area (SA) = ph + 2B = [Lateral Area + 2 (area.

Surface Area and Volume of Pyramids Goal: Students will find the surface area and volume of pyramids.

 A Prism is a polyhedron with two congruent, parallel bases.  The other faces are lateral faces.  A prism is named for the shape of its bases.

Volume and Surface Area

Sunshine State Standards

BELLRINGER Complete this assignment: You have 20 minutes.

Lesson 9-2: Prisms & Pyramids

Lesson 9-2: Prisms & Pyramids

Surface area and volume formulas

Lateral Area, Surface Area, and Notes

Lesson 9-2 Prisms and Pyramids.

Lesson 9-3 Cylinders and Cones.

11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones

11.6 Surface Area and Volume of Pyramids and Cones

11.4 Vocabulary Polyhedron Prism, Pyramid, Cylinder, Cone, Sphere

Warm-Up Complete Worksheet

Surface Area and Volume of Pyramids

Wednesday April 18.

Lesson 9-2: Prisms & Pyramids

9.4 – Perimeter, Area, and Circumference

Lesson 9-2: Prisms & Pyramids

Lesson 9-2: Prisms & Pyramids

Lateral Area, Surface Area, and Notes

Lesson 9-3: Cylinders and Cones

Presentation transcript:

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

Prism: 2 congruent, parallel faces (called the bases). The other faces of the prism are called lateral faces Named by the shape of its base Altitude: perpendicular segment joining the bases Height: the length of the altitude

Lateral Surface Area: For a Right Prism: LA = ph p=perimeter of base The sum of the areas of the lateral faces Area of the sides (not including the bases) For a Right Prism: LA = ph p=perimeter of base h= height

Cylinder (bases are circles) LA = 2∏rh

Surface Area: For a Right Prism: SA= LA + 2B B= area of the base Sum of lateral surface area and the area of the 2 bases Find lateral surface area and then add the area of the bases For a Right Prism: SA= LA + 2B B= area of the base

Surface Area of Cylinders: SA= 2∏rh + 2∏r2

Pyramids and Cones Pyramid: The base is any polygon and the other faces (lateral faces) are triangles that meet at a common vertex Cone: Pyramid whose base is a circle.

Slant Height (l): The length of the altitude of the lateral face of the pyramid

Lateral Surface Area of Pyramids and Cones: Lateral Surface Area of Pyramid: LA = ½ pl p= perimeter of base l= slant height Lateral Surface Area of Cone: LA = ∏rl

Total Surface Area of Pyramids and Cones: Pyramid: SA = LA + B B= area of the base Cone: SA = LA + ∏r2

Surface Area of a Sphere:

Cross Section The shape you get when you “slice” a 3 dimensional figure

VOLUME The space that a figure occupies Measured in cubic units When finding volume of pyramids and cones, need to use the height, not slant height. The height is perpendicular to the base.

VOLUME FORMULAS: Right Rectangular Prism: Any Pyramid: V= lwh Any Right Prism: B = area of the base V= Bh B= area of the base Cone: Square Pyramid: Sphere: