Surface Area.

Slides:

Advertisements

Similar presentations

Geometry Formulas: Surface Area & Volume.

Advertisements

Surface Area of Cylinders.

Read and answer the questions on each slide. To move through the tutorial, press the return key or the right arrow key. To return to a previous slide,

10.5 Surface Area of Prism.

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.

Finding Surface Area Rectangular Prism Step 1: Flatten the 3-D figure

Area and Surface Area Prisms, Pyramids, and Cylinders.

Surface Area and Volume

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.

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 7 th Grade More about Geometry Unit.

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

Please start Bellwork # HW, red pen, book on desk.

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.

Surface Area Return to table of contents.

Quiz-Warm Up! Remember 5 minutes only!

Surface Area Lesson 8.7 – Surface Area HW: 8.7/1-10.

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

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.

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

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

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

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.

Sec. 11 – 2 Surface Area of Prisms & Cylinders Objectives: 1) To find the surface area of a prism. 2) To find the surface area of a cylinder.

Surface Area and Volume SOL 8.7 C. Washington & K. Poprik.

Find the surface area of the prism. COURSE 2 LESSON 8-8 Then find the total area of the five faces. top bottom left side front side back side 10(26) +

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.

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

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.

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 of cuboids

Surface Area: Rectangular & Triangular Prisms & Cylinders

Surface Area and Volume

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

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

Surface Area of Prisms and Cylinders

JEOPARDY Welcome to Jeopardy.

February 23, Math 102 OBJECTIVE: Students will be able to determine the surface area of prisms and cylinders, using a calculator and a variety.

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 Rectangle Prisms

Surface Area of Prisms and Cylinders

Presentation transcript:

Surface Area

How much cardboard does it take to make a cereal box? Surface Area of Rectangular Prisms Have you ever wondered? How much cardboard does it take to make a cereal box?

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

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

40 in2 Now there are 2 rectangles that each have an area of 40 sq. in.

What are the dimensions of this rectangle? 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?

Yes, it’s on the left side. 7 in. 4 in. 4 in. 7 in.

28 in2 Now there are 2 rectangles that each have an area of 28 sq. in.

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

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

Yes, it’s on the bottom. 10 in. 7 in. 10 in. 7 in.

70 in2 Now there are 2 rectangles that each have an area of 70 sq. in.

Now we just need to add all the areas of the sides together. + 70 in2 28 in2 40 in2

The total Surface Area for this rectangular prism is 40 + 40 + 28 + 28 + 70 + 70 = 276 in2

It’s your turn to try one!

Find the surface area. Area of top and bottom: 3 cm x 2 cm = 6 cm2 Since there are two of these shapes, 6 cm2 x 2 = 12 cm2 6 cm

Find the surface area. Area of front and back: 3 cm x 6 cm = 18 cm2 Since there are two of these shapes, 18 cm2 x 2 = 36 cm2 6 cm

Find the surface area. Area of both sides: 6 cm x 2 cm = 12 cm2 Since there are two of these shapes, 12 cm2 x 2 = 24 cm2 6 cm

Find the surface area. 12 cm2 36 cm2 +24 cm2 72 cm2 Now add up the answers 12 cm2 36 cm2 +24 cm2 72 cm2 6 cm

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

SA = 6(s2) Formula for Surface Area of a Cube side Since all dimensions of a cube are the same, you only need to know the length of one side. side side SA = 6(s2)

End of day 1

How much metal is used to make a soup can? Surface Area of Cylinders How much metal is used to make a soup can?

Surface Area of a cylinder = Area of top + Area of bottom + Area of the side TOP SIDE BOTTOM

Area of a circle is πr2. Since there are 2 circles that make up the net of a cylinder then, the area is 2(πr2).

C=2πr C h So the area of the rectangle is (2πr)h. The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the circumference of the circle, since the label wraps once around the can. C=2πr C h So the area of the rectangle is (2πr)h.

Surface Area of a Cylinder = Add those two parts together and you have the formula for the surface area of a cylinder. Surface Area of a Cylinder = 2(π r 2) + (2 π r)h Circles + Rectangle

Example 1: Find the surface area of this cylinder. r = 3 cm h = 6 cm