How much cardboard does it take to make a cereal box? Have you ever wondered?

Slides:

Advertisements

Similar presentations

Advertisements

Read and answer the questions on each slide. To move to through the tutorial, press return or the space bar. Feel free to view the tutorial again if you.

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.

Ms. Julien East Cobb Middle School (Adapted from Mr. Tauke’s PPT)

Bell Work Find the surface area of each figure.

SURFACE AREA & VOLUME.

Developing the formula for the Surface Area of a Prism.

Surface Area Nets & Rectangular Prisms. Rectangular Prisms Made of 6 sides Top & Bottom Front & Back Left & Right.

Surface Area: Prisms and Pyramids

Warm-up Find the area of the following: show calculations! 1.)2.) 3.) 4 inches 8 ft 12 cm 8ft 3 cm 3 inches.

Volume and Surface Area of a Triangular Prism. A triangular prism is a three- sided polyhedron with two parallel triangular bases and three rectangular.

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

Surface Area By Vernon Savoury Math – Grade 6 Unit 3 Measurement: Shape and Space SO 4,5.

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.

Surface Area Return to table of contents.

Quiz-Warm Up! Remember 5 minutes only!

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.

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.

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.

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

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

Unit 8, Lesson 4 Surface Area Standard: MG 3.0 Objective: Find the volume and surface area of prisms and cylinders.

Surface Area By Vernon Savoury Math – Grade 6 Unit 3 Measurement: Shape and Space SO 4,5.

Bell Work Find the surface area of the figure. 6 x 4 = 24 in² 3 x 4 = 12 in² 6 x 3= 18 in² Add them up! SA = SA = 108 in².

Surface Area and Volume

Chapter 6 Unit Questions How do we use Geometric ideas in Algebra? How do we use probability in Algebra?

 Snap together cubes to create a solid rectangular figure.  How long is your figure?  How wide is your figure?  What is the height of your figure?

Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.

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.

Surface Area What is a rectangular prism? Cereal Box Gift Bo x TV Locker Height Length Width.

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)

+ Pyramids and Prisms. + Solid An object with 3 Dimensions Height, Width, Length.

Surface area of cuboids and prisms Grade C work. Find the area of these shapes.

Surface Area and Volume. Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as.

Topic: U9 Surface Area and Volume EQ: How do we find the surface area and volume of prisms and cylinders?

Surface Area of a Prism Cubes and Cuboids.

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.

SURFACE AREA & VOLUME RECTANGULAR PRISM – AREA RECTANGULAR PRISM – VOLUME.

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

Surface Area of a 3-D solid. Definition Surface Area – is the total number of unit squares used to cover a 3-D surface.

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

VOLUME  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.

Area vs Surface Area.

Surface Area I can calculate the surface area of a prism Direction:

Surface Area of Prisms and Cylinders

Surface Area Tutorial Read and answer the questions on each slide.

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

Surface Area: Rectangular & Triangular Prisms & Cylinders

Solid Figures 7th Grade Standard

East Cobb Middle School (Adapted from Mr. Tauke’s PPT)

Surface Area of a Prism.

Surface Area 7th Grade Math Obj. 4c.

Objective - To find the surface area of a rectangular prism.

Surface Area of Prisms and Cylinders

Surface Area Calculate the surface area and volume of prisms and use appropriate units, such as cm2 and cm3. Justify the formulas used. Justification.

Surface Area Tutorial.

Measurement: Shape and Space

7.G.5 Surface Area of a prism

Surface Area of Rectangular Prisms and Cubes

How much cardboard in a cardboard box?

Surface Area of Prisms and Cylinders

Surface Area of a Rectangular Prism

Surface Area of Prisms.

Surface Area of Rectangle Prisms

Surface Area of Prisms and Cylinders

Surface Area of Prisms.

Lesson 6 Surface of Prisms

Presentation transcript:

How much cardboard does it take to make a cereal box? Have you ever wondered?

Surface Area- the sum of the areas of all the faces

Do you see the RED face? What are the dimensions of this rectangle? 10 in. 4 in.

Do you see another face that is just like the RED face? Where is it located?

Yes, it’s on the back. 10 in. 4 in. 10 in. 4 in. The front is a face. It is identical to the back.

40 in 2 The area of the front is 40 in ². That means the area of the back is also 40 in².

Do you see the BLUE face? What are the dimensions of this rectangle? 4 in. 7 in.

Do you see another face that is just like the BLUE face? Where is it located?

4 in. 7 in. 4 in. The right side is a face. It is identical to the left side.

The area of the right side is 28 in ². That means the area of the left side is also 28 in². 28 in 2

Do you see the GREEN face? What are the dimensions of this rectangle? 10 in. 7 in.

Do you see another face that is just like the GREEN face? Where is it located?

The top is identical to the bottom. 10 in. 7 in. 10 in. 7 in.

The area of the top is 70 in ². That means the area of the bottom is also 70 in². 70 in 2

We just need to add all the areas of the sides together in 2 28 in 2 40 in 2 28 in 2 70 in 2 To find the total surface area, you add ALL the areas.

The total Surface Area for this rectangular prism is = 276 in 2

It’s your turn to try one!

Find the surface area. 6 cm 3 cm 2 cm Area of top and bottom: 2 3 cm x 2 cm = 6 cm 2 Since there are two of these shapes, 12 cm 2 6 cm x 2 = 12 cm 2

Find the surface area. 6 cm 3 cm 2 cm Area of front and back: 2 3 cm x 6 cm = 18 cm 2 Since there are two of these shapes, 2 36 cm 2 18 cm 2 x 2 = 36 cm 2

Find the surface area. 6 cm 3 cm 2 cm Area of both sides: 2 6 cm x 2 cm = 12 cm 2 Since there are two of these shapes, 2 24 cm 2 12 cm 2 x 2 = 24 cm 2

Find the surface area. 6 cm 3 cm 2 cm Now add up the answers 12 cm 2 12 cm 2 36 cm 2 36 cm cm cm 2 72 cm 2

Formula for Surface Area of Rectangular Prisms SA = 2(lw) + 2(lh) + 2(wh) width height length

Formula for Surface Area of a Cube SA = 6(s 2 ) side Since all dimensions of a cube are the same, you only need to know the length of one side.

How about another method?

Notes for your binder: S. Area: OTHER METHODS 1) “Football” Method 2) “Butt” Method

“Butt” Method 5 in 2 in 9 in

“Butt” Method 3 in 5 in 10 in

“Football” Method 3 in 2 in 10 in

“Football” Method 5 in 4 in 8 in

You try this one! Use whichever method you prefer… 6 cm 2 cm 4 cm