Lesson Menu Main Idea and New Vocabulary Key Concept:Surface Area of a Rectangular Prism Example 1:Surface Area of Rectangular Prisms Example 2:Surface.

Slides:



Advertisements
Similar presentations
Finding Surface Area Step 1: Flatten the 3-D figure A rectangular prism will flatten to 6 rectangles. Depending on the dimensions of the 3-D figure, you.
Advertisements

Math-8 NOTES DATE: ______/_______/_______ What: applying surface area... Why: To investigate a variety of different types of surface area applications,
Ms. Julien East Cobb Middle School (Adapted from Mr. Tauke’s PPT)
Solid Figures 7 th Grade Common Core Georgia Performance Standards: TCV.7.G.6 (3) Solve real-world and mathematical problems involving volume of cubes.
Bell Work Find the surface area of each figure.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) Main Idea Key Concept: Surface Area of a Cylinder Example 1:Find the Surface Area of a.
Vocabulary Area Surface AreaVolume More vocabulary.
Solving Surface Area Problems
Surface Area: Prisms and Pyramids
Lesson Menu Main Idea and New Vocabulary Key Concept:Surface Area of a Prism Example 1:Surface Area of a Prism Example 2:Surface Area of a Prism Key Concept:Surface.
Area of a Parallelogram Area of a Triangle Circumference & Area of a Circle.
Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
Solid Figures 7 th Grade Georgia Standard of Excellence: MGSE7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of.
The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.
9-2 Volume of Prisms and Cylinders Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Surface Area of Prisms and Cylinders Lesson 9-8. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular.
Bell Ringer Calculate the perimeter of the figure. 2.Calculate the area of the figure.
SURFACE AREA Vocabulary Surface Area – The sum of the areas of all the faces of a three-dimensional object. Lateral Surface Area – Total surface area minus.
3D Figures What is a 3D figure? A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid.
Volume and Surface Area
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) Main Idea and Vocabulary Key Concept: Surface Area of a Rectangular Prism Example 1:Find.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–6) Then/Now New Vocabulary Key Concept:Lateral and Surface Area of Pyramids Example 1: Surface.
Splash Screen. WARM-UP PROBLEMS: Solve 4x + 8 = 32. Solve 15 – 3a = 45. Solve –9 + 7x = 68.
Mrs. Bothers East Cobb Middle School (Adapted from Mr. Tauke’s PPT)
Surface Area and Volume 7 th Grade Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.
Surface Area of Prisms and Cylinders Retrieved from
Surface Area of Prisms and Cylinders. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular prism.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 14–6) Main Idea and Vocabulary Key Concept: Surface Area of a Rectangular Prism Example 1:Find.
Surface Area of Prisms. Vocabulary Surface Area: the sum of the areas of all the faces of a 3D figure Measured in square units (ex: ft 2, in 2, m 2, etc)
Warm Up Problem  Which of the following statements is true for the equation 6x = 78?  A) To find the value of x, subtract 6 from 78.  B) To find the.
Holt CA Course Surface Area Warm Up Warm Up Lesson Presentation California Standards Preview.
Please clear off your desks except for your homework, opening activity, pen/pencil and calculator!!! Opening Activity: 1. Find the volume of the following.
Geometry Unit: Chapter 8 Test Review Chapter 8 Lessons 1-7.
Surface area practice For each problem find the surface area. Answers are found on the last slide.
Welcome to Interactive Chalkboard Mathematics: Applications and Concepts, Course 2 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc.
Lateral and Total Surface Area
Surface Area of Prisms and Cylinders
Surface Area of a Space Figure
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Geometry Unit Test Review
Surface Area: Rectangular & Triangular Prisms & Cylinders
Splash Screen.
Solid Figures 7th Grade Standard
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Fractions and Decimals
East Cobb Middle School (Adapted from Mr. Tauke’s PPT)
Splash Screen.
Main Idea and New Vocabulary Key Concept: Area Formulas
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.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
7th Grade Georgia Standard of Excellence:
Surface Area of Prisms and Cylinders
Warm Up Problem Is this an arithmetic or geometric sequence? What is the next number in the sequence? 12, 27, 42, 57, …
Surface Area of Pyramids
Warm Up Problem Which of the following statements is true for the equation 6x = 78? A) To find the value of x, subtract 6 from 78. B) To find the value.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Main Idea and New Vocabulary Key Concept: Volume of a Prism
SURFACE AREA.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
7.G.5 Surface Area of a prism
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Surface Area of Rectangular Prisms and Cubes
1.4 Surface Area of Other Composite Objects
Surface Area of Pyramids
Surface Area of Prisms and Cylinders
Surface Area of Prisms.
Surface Area of Prisms and Cylinders
Surface Area of Prisms.
Presentation transcript:

Lesson Menu Main Idea and New Vocabulary Key Concept:Surface Area of a Rectangular Prism Example 1:Surface Area of Rectangular Prisms Example 2:Surface Area of Rectangular Prisms Example 3:Real-World Example Example 4:Surface Area of Triangular Prisms

Main Idea/Vocabulary Find the surface areas of prisms. surface area

Key Concept

Example 1 Surface Area of Rectangular Prisms Find the surface area of the rectangular prism. There are three pairs of congruent faces. top and bottom front and back two sides

Example 1 Faces Area top and bottom2(6 2) = 24 front and back2(6 3) = 36 two sides2(3 2) = 12 sum of the areas = 72 Answer:The surface area of the prism is 72 square centimeters. Surface Area of Rectangular Prisms

Example 1 CYP A.22 in 2 B.36 in 2 C.76 in 2 D.80 in 2 Find the surface area of the rectangular prism.

Example 2 Find the surface area of the rectangular prism. Surface Area of Rectangular Prisms Replace b with 10, w with 8, and h with 12. surface area= 2bh + 2bw + 2hw = = = 592 Answer:The surface area of the prism is 592 square inches.

Example 2 CYP A.18 in 2 B.25 in 2 C.30 in 2 D.46 in 2 Find the surface area of the rectangular prism.

Example 3 GIFTS Diana has a gift box that is 11 inches long, 8 inches wide, and 6 inches tall. She has a sheet of wrapping paper that is 4 feet long by 1 foot wide. Does she have enough wrapping paper to wrap the box? Justify your answer. Step 1Find the surface area of the gift box. Replace b with 11, w with 8, and h with 6. surface area= 2bh + 2bw + 2hw = = = 404 in 2

Example 3 Step 2Find the number of square inches the wrapping paper will cover. 1 ft 2 = 1 ft × 1 ft = 12 in. × 12 in.Replace 1 ft with 12 in. = 144 in 2 Multiply. The sheet of wrapping paper is 4 feet by 1 foot or 4 square feet. So, 4 square feet is equal to 4 × 144 or 576 square inches. Answer:Since 576 > 404, Diana has enough wrapping paper to wrap the box.

Example 3 CYP A.Yes; since 310 in 2 > 288 in 2, she has enough fabric. B.No, since 288 in 2 < 310 in 2, she does not have enough fabric. FABRIC Angela needs to cover a cardboard box that is 15 inches long, 5 inches wide, and 4 inches high with felt. She bought a piece of felt that is 1 foot wide and 2 feet long. Did she buy enough felt to cover the box? Explain.

Example 4 TENTS Brian’s tent is a triangular prism with a side length of 12 feet and a width of 8.6 feet. The triangular face has a height of 7 feet and a base of 10 feet. How much fabric is used to make the tent? Surface Area of Triangular Prisms To find the surface area of the tent, find the area of each face and add.

Example 4 Surface Area of Triangular Prisms The area of each triangle is 10 7 or 35. __ 1 2 The area of two of the rectangles is or The area of the third rectangle is or 120. The sum of the areas of the sides is or square feet.

Example 4 Surface Area of Triangular Prisms Answer:So, square feet of fabric was used.

Example 4 CYP A ft 2 C. 163 ft 2 B.145 ft 2 D. 170 ft 2 SCULPTURES Gilberto has been commissioned to build a sculpture made of geometric figures to sit in front of the art museum. One piece is a triangle prism that will have a length of 8 feet. The triangular bases will have equal side lengths of 5 feet and a height of 4.3 feet. He plans to paint the prism blue. How much surface area will the paint need to cover?