Solving Surface Area Problems

Slides:

Advertisements

Similar presentations

3-D Figures Surface Area and Volume

Advertisements

Bell Work Find the surface area of each figure.

Surface area Review. Example CUBE Area of one face: 5² = 25 SA= (6)(25) SA= 150 m² Find the Surface Area.

Geometry Mini-Lesson 20 cubic cm 24 cubic cm 32 cubic cm 48 cubic cm

Grade 8 Surface area 1 CONFIDENTIAL.

EXAMPLE 1 Use the net of a prism Find the surface area of a rectangular prism with height 2 centimeters, length 5 centimeters, and width 6 centimeters.

3.2a: Surface Area of Prisms and Cylinders

Solving Volume Problems. Warm Up Complete the table. PrismBase Area of Base Triangular Prism Rectangular Prism Trapezoidal Prism.

CIRCUMFERENCE Lesson 8-1. Vocabulary Start-Up A circle is the set of all points in a plane that are the same distance from a point, called the center.

Surface Area of Rectangular Prisms 1.How many outside surfaces does a rectangular prism have? 2.What shape are each of the faces? The six rectangular sides.

Area of a Parallelogram Area of a Triangle Circumference & Area of a Circle.

Lateral Area, Surface Area, and Volume

Warm Up Find the perimeter and area of each polygon.

Surface Area of Prisms Unit 5, Lesson 2. What is a Prism? Definition: –A three dimensional figure with 2 congruent polygon bases and rectangular sides.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day

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: Prisms and Cylinders

Surface Area of Prisms and Cylinders

Warm Up 1.) Find the area of the hexagon.

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

Surface Area of Prisms and Cylinders. Vocabulary Net- the pattern you make if you unfold a three-dimensional figure and lay it out flat. Surface area-

Surface Area of a Composite Solid

Volume of Cylinders, Day 2. Warm Up A pipe is made from 3 cylinders. The smaller cylinders are each 8 centimeters tall and have a diameter of 6 centimeters.

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.

Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall ft3 2. cone with radius.

Surface Area of Prisms and Cylinders 9-7 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

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.

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.

10.5 Surface Areas of Prisms and Cylinders Skill Check Skill Check Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.

Holt Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

EXAMPLE 1 Drawing a Net Draw a net of the triangular prism. SOLUTION

10-4 Surface Area of Prisms and Cylinders Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8.

Surface Areas of Prisms and Cylinders

Copyright © Ed2Net Learning, Inc.1 Three-Dimensional Figures Grade 5.

DO NOW 11 in. 1.Name the solid. 2.Find its surface area. 7 in. 5 in. 6 in. Triangular prism 244 in. 2.

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

Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.

Surface Areas and Volumes of Prisms and Cylinders.

Draw a net of a triangular prism. What shapes did you use? A. 3 squares and 1 triangle B. 3 rectangles and 2 triangles C. 1 rectangle and 4 triangles D.

Warm-up An equilateral triangle is inscribed in a circle with a radius of 4 meters. Find the area of shaded region? 4 m.

Surface area practice For each problem find the surface area. Answers are found on the last slide.

Geometry & Measurement Similar Figures Volume Circles & Surface Area Mixed Applications

9-6 Surface Area of Prisms and Cylinders Warm Up Answer these three questions with vocabulary terms you have learned this chapter: 1. What is the distance.

Lateral and Total Surface Area

Surface Area and Volume of

Warm Up Find the perimeter and area of each polygon.

Volumes of Pyramids and Cones

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Geometry Unit Test Review

Playing Cards and Solutions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Areas of Prisms and Cylinders

Prisms and cylinders have 2 congruent parallel bases.

EXAMPLE 2 Use Euler’s Theorem in a real-world situation

10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

10-2 & 10-3: Representations of 3-D Figures and Surface Area of Prisms

Find lateral areas and surface areas of prisms.

Volume of Pyramids and Cones

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

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area of 10-4 Prisms and Cylinders Warm Up Lesson Presentation

Volumes of Pyramids and Cones

Surface Areas of Prisms and Cylinders

Chapter 10 Extension Objective: To find missing dimensions

Presentation transcript:

Solving Surface Area Problems

Warm Up

Number of Lateral Faces Complete the table. Prism Number of Lateral Faces Number of Bases Rectangular Prism Cube Triangular Prism

The formula S = Ph + 2B is a general formula for finding the surface area of a prism. The P in the surface area formula represents the perimeter of the base of the prism. The value of h in the surface area formula is the height of the prism. The formula used for finding B depends on the shape of the base of the prism. To find the surface area of a composite figure, find the surface area of each of the prisms that comprise the composite figure, then subtract twice those parts not on the surface.

A small cube with edges measuring 5 cm sits on top of a larger cube with edges measuring 10 cm. How does the surface area of the two separate figures differ from the surface area of the composite figure?

How can you find the surface area of a figure made up of cubes and prisms? Find the surface area of each of the cubes and prisms that make up the solid. Add the surface areas, and subtract the areas of any parts that are not on the surface.

How do you decide which dimension is the length, width and height of the prism? First determine which side is a base. The longer edge on a base is commonly called the length, the shorter edge is commonly called the width, and the other edge is commonly called the height.

Henry stores the arrowheads he has found in a box the shape of a rectangular prism. The box is 14 inches long, 12 inches wide and 2 inches high. He plans to paint the exterior of the box. How many square inches does he have to paint?

How does knowing how to find the surface area of prisms help you when finding the surface area of a composite solid? When a composite solid is made up of more than one prism, adding the surface area of each of the prisms and then subtracting any area not on the surface allows you to find the total surface area.

What is the surface area of the milk carton?

Marco and Elaine are building a stand like the one shown to display trophies. What is the surface area of the stand? Marco and Elaine want to paint the entire stand silver. A can of paint covers 25 square feet and costs $6.79. They set aside $15 for paint. Is that enough? Explain.

Henry wants to cover the box shown with paper without any overlap Henry wants to cover the box shown with paper without any overlap. How many square centimeters will be covered with paper? Suppose the length and width of the box doubled. Does the surface area double? Explain.

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengths of 2.5 feet and a height of 3.5 feet. Compare the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism.

The oatmeal box shown is shaped like a cylinder The oatmeal box shown is shaped like a cylinder. Use a net to find the surface area S of the oatmeal box to the nearest tenth. Then find the number of square feet of cardboard needed for 1,500 oatmeal boxes. Round your answer to the nearest whole number.

Exit Ticket Find the surface area of each solid figure.