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Surface Area

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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 of all the sides and then adding those answers up.
- How will the answer be labeled?
- Units2 because it is area!

B

C

5 in

A

6

4

How many faces are on here?

6

Find the area of each of the faces.

Do any of the faces have the same area?

A = 5 x 4 = 20 x 2 =40

If so, which ones?

B = 6 x 5 = 30 x 2 = 60

C = 4 x 6 = 24 x 2 = 48

Opposite faces are the same.

148 in2

Find the SA

Are all the faces the same?

YES

A

How many faces are there?

4m

6

Find the Surface area of one of the faces.

4 x 4 = 16

Take that times the number of faces.

X 6

96 m2

SA for a cube.

How many faces are there?

4

5

5

How many of each shape does it take to make this prism?

10 m

3

2 triangles and 3 rectangles = SA of a triangular prism

Find the surface area. Start by finding the area of the triangle.

x 2= 12

4 x 3/2 = 6

How many triangles were there?

5 x 10 = 50 = front

4 x 10 = 40 = back

3 x 10 = 30 = bottom

2

Find the area of the 3 rectangles.

SA = 132 m2

What is the final SA?

- You can find the SA of any prism by using the basic formula for SA which is
- 2B + LSA= SA
- LSA= lateral Surface area
- LSA= perimeter of the base x height of the prism
- B = the base of the prism.

- Use the same triangular prism we used before. Let’s us the formula this time. 2B + LSA=SA
- Find the area of the base, which is a triangle because it is a triangular prism. You will need two of them.
- Now, find the perimeter of that same base and multiply it by how many layer of triangles are in the picture. That is the LSA.
- Add that to the two bases. Now you should have the same answer as before.
- Either way is the correct way.

What does it take to make this?

6

10m

2 circles and 1 rectangle= a cylinder

2B + LSA = SA

2 B

3.14 x 9 = 28.26

X 2 = 56.52

+ LSA(p x H)

3.14 x 6 =18.84 x 10 = 188.4

SA =

244.92

SURFACE AREA

- Why should you learn about surface area?
- Is it something that you will ever use in everyday life?
- If so, who do you know that uses it?
- Have you ever had to use it outside of math?