Math 10 Chapter 1 - Geometry of 3-D Figures Lesson 4 – Calculating Surface Areas of 3-D Shapes.

Slides:

Advertisements

Similar presentations

Volume and surface area of solids

Advertisements

SURFACE AREA GEOMETRY 3D solid SOLID SHAPES AND THEIR FACES SOLID FIGURE Enclose a part of space COMPOSITE SOLID It is made by combining two or more.

Unit 4D:2-3 Dimensional Shapes LT5: I can identify three-dimensional figures. LT6: I can calculate the volume of a cube. LT7: I can calculate the surface.

Bell Ringer Get out your notebook and prepare to take notes on Chapter 8 What is the difference between two-dimensional and three-dimensional?

Surface Area of Prism and Cylinder

Volumes of Pyramids & Cones Objectives: 1) Find the volume of a right Pyramid. 2) Find the volume of right Cone.

Surface Area: Prisms and Pyramids

Surface Area What does it mean to you? Does it have anything to do with what is in the inside of the prism.? Surface area is found by finding the area.

Grade 6 Surface Area of Prism and Cylinder. 2 Warm Up Q1. Draw a top and a front view of each figure

Volume and Surface Area 7 th Grade More about Geometry Unit.

Geometry 11-3 Surface Areas of Pyramids and Cones.

Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal  I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres.

Quiz-Warm Up! Remember 5 minutes only!

Lateral Area, Surface Area, and Volume

Prisms Lesson 11-2.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area of 3-Dimensional Figures Ms. Stewart Math 8 Outcome: D7: Estimate and calculate volumes and surface areas of right prisms and cylinders COPY.

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

Surface Area of Prisms and Cylinders

3D Figures What is a 3D figure? A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid.

Chapter 10: Surface Area and Volume

GEOMETRY Today: PSAE 12.3 Instruction Practice Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

11 – 5 Volumes of Pyramids & Cones

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

8-10 Surface Area of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

Identifying 3-D Figures Lesson 12 – 7. Vocabulary Three Dimensional (3 – D) Figure: Shapes that have a length, width, and depth/height Face – a flat surface.

Click to add text Surface Area of Pyramids, Cones and Spheres Math 8 Measurement Unit.

PRE-ALGEBRA. Surface Area: Pyramids, Cones, and Spheres (10-6) How can you find the surface area of a pyramid using a formula? Surface Area (S.A.) of.

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

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

Volume & Surface Area of Solids Objective: find the volume & surface area of cylinders, prisms, cones, pyramids and spheres How are volume formulas related.

Math 10 Chapter 1 - Geometry of 3-D Figures Lesson 5 – Calculating Volumes of 3-D Shapes.

Chapter 10 Measurement Section 10.5 Surface Area.

Bell Work: What is the volume of the box with the dimensions shown? 4 inches 5 inches 9 inches.

Surface Area If you remove the surface from a three-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see.

Please clear off your desks except for your homework, opening activity, pen/pencil and calculator!!! Opening Activity: 1. Find the volume of the following.

How to find the volume of a prism, cylinder, pyramid, cone, and sphere. Chapter (Volume)GeometryStandard/Goal 2.2.

Geometry Unit: Chapter 8 Test Review Chapter 8 Lessons 1-7.

SURFACE AREA PRISMS AND CYLINDERS NET 2 NET 3 NET 4.

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Surface Area Total area on the surface of the figure, amount of paper needed to cover it.

Surface Area. Definitions: Surface Area – Is the sum of the areas of a three- dimensional figure’s surfaces. Net – Is the shape made when the surface.

GEOMETRY. Students are expected to: Sketch a diagram to represent a problem that involves surface area or volume. Determine the surface area of a right.

7 th Grade Math Obj. 4c Surface Area is the amount of exposed area on a 3-D object. Surface Area is always measured in square units, just like Area is.

Math 10 Chapter 1 - Geometry of 3-D Figures

Surface Area Total area on the surface of the figure, amount of paper needed to cover it.

HOW TO CALCULATE SURFACE AREA

Surface Area of Pyramids

Area, Perimeter, Surface Area, Volume

May look at figures in box to give you some ideas. Geometric Solid:

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area: Rectangular & Triangular Prisms & Cylinders

Surface Areas of Prisms and Cylinders

Surface Area of Pyramids, Cones and Spheres

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area 7th Grade Math Obj. 4c.

Surface Area 7th Grade Math Obj. 4c.

Solid Geometry.

Surface Area of Pyramids, Cones and Spheres

5.6 Surface Area of 3D Figures

7.G.5 Surface Area of a prism

Surface Areas of Prisms and Cylinders

Volumes of Prisms and Cylinders

Chapter 10 Extension Objective: To find missing dimensions

Surface Area of Pyramids, Cones and Spheres

Volumes of Prisms and Cylinders

Solid Geometry.

Solid Geometry.

– I can find the surface areas of prisms, pyramids, and cylinders

Presentation transcript:

Math 10 Chapter 1 - Geometry of 3-D Figures Lesson 4 – Calculating Surface Areas of 3-D Shapes

Todays Objectives: In this section we will: Sketch a diagram to represent a problem that involves surface area (SA) Determine the SA of a right cone, right prism, right pyramid, or sphere using an object or diagram Determine an unknown dimension of a right cone, right prism, right pyramid, or sphere given the SA and remaining dimensions Solve a problem that involves SA

Surface Area Area is the two-dimensional (2-D) size of a surface. Consider the area that your notebook is covering on the surface of your desk Surface area (SA) of a solid is the total area of the exposed surfaces of a three- dimensional (3-D) object.

Surface Area Consider a box. If you unfolded the sides, top, bottom, front and back…how much area on your desk would it cover? That would be the surface area of the box

Review of areas

Surface Area Formulas h = height r = radius s = slant height

Examples 1. Height is 7 feet. Radius is 2 feet. Label the cone and then solve the surface area. Answer = 58 square feet 2.Lateral area is 220 square cms. Diameter is 10cm. What is the height of the cone? Answer = 13.1 cm

Surface Area Formulas Right Pyramid A triangle = 1/2bs Abase = b 2 SA = 2bs + b 2 Right pyramid is a 3D object with triangular faces and a polygon base

Examples 1.Slant height is 10 cm. Base length is 8cm. Label the triangle and then solve the surface area. Answer = 224 square cm 2. Slant height is 7.8 cm. Triangular base length is 9cm. Label the triangle and then solve the surface area. Answer = square cm

Surface Area Formulas Right Prism SA = 2(hl + lw + hw)

Surface Area Formulas

Example Answer = 1508 square cm Height is 8 cm. Diameter is 24cm. Draw and label the cylinder and then solve the surface area.

Surface Area Formulas ½ of sphere

Examples Diameter is 16cm. Draw and label the sphere and then solve the surface area. Answer = 804 square cm

Combined Surface Areas Sometimes you may encounter 2 or more shapes combined into one *Don’t forget that you may need to subtract and/or add certain dimensions to find the correct answer Ex.) How can we find the SA of this shape?

Answer! sq. in