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Surface Area Pre-Algebra Obj. 4a,4c

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Page 1: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Surface Area

Pre-AlgebraObj. 4a,4c

Page 2: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Yesterday we learned…

• Surface Area is the amount of exposed AREA on a 3-D object.

• Surface Area is always measured in square units, just like AREA is.

Can you identify the part of

this dresser that is the

surface area?

Page 3: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Today…

We are going to use our formula sheets to help us find the Surface Area of cubes and cylinders.

Page 4: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Understanding Surface Area

Before we get started though…

Let’s make sure we have a good understanding of what Surface AREA is.

Page 5: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Understanding Surface Area

Jim painted his shed to blend in with the surroundings. How would you determine the surface area of the part of the shed that was painted.

Page 6: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Understanding Surface Area

Shelia is frosting a cupcake. What is the surface area of the part of the cupcake that is being frosted?

http://www.thecupcakeblog.com/wp-content/uploads/2011/06/Chocolate-Cupcake-with-Peanut-Butter-Frosting.jpg
Page 7: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Understanding Surface AreaThe glass on the Memphis pyramid is being replaced. How would you determine the surface area of the part of the pyramid where the glass will be replaced.

Page 8: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Understanding Surface Area

You are wrapping a gift in a rectangular shaped box. How would you determine the amount of wrapping paper needed to wrap the gift?

Page 9: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Let’s now look at our Formula Sheets.

Formula Sheet

Surface Area cylinder (lateral) S = 2 rh

6 in

3 in

Page 10: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Guided Practice

Surface Area cylinder (lateral) S = 2 rh

1)

Find the surface area of the cylinder (without the lids)

6 in

SA = _____ x _____x_____ x _____ = ____________

3 in

Page 11: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

You Try!

1) What is the surface area of cylinder (without the lids)

SA = _____ x _____ x _____ x _____

= ____________

Page 12: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

You Try!

1) Find the surface area of cylinder (without the lids)

Radius: 10 ÷ 2 = 5

SA = 2 x 3.14 x 5 x 12

= 376.8 cm²

S = 2 rh

Page 13: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

MCT2 You Try!

What is the surface area of the cylinderif the lids have been removed?

SA = __________

What is the total surface area including the two lids?

Total SA = __________

2.

Page 14: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

MCT2 You Try!

Find the Surface Area (no lids):

SA = 2 rh

= 2 x 3.14 x 6 x 16

= 602.88 in²

Find the Surface Area (with lids):

Area of circle = r² = 3.14 x 6² = 113.04

SA = 602.88 + 113.04 + 113.04

= 828.96 in²

2.

Page 15: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

Challenge

Empty cans were painted (bottoms included) and used as planters to attach to a wall.

How would you go about finding the surface area of the painted part of each can?

Did the paint go on the top?Yes or No

Did the paint go on the bottom?

Yes or No

Did the paint go around the side?

Yes or No

Page 16: Pre-Algebra Obj. 4a,4c Surface Area is the amount of exposed AREA on a 3-D object. Surface Area is always measured in square units, just like AREA is

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