Surface Area of Cylinders

Presentation

•

Mathematics

•

10th Grade

•

Hard

James Gonzalez

FREE Resource

16 Slides • 10 Questions

Surface Area
(Prisms & Cylinders)

Area of Regular Polygons

Example: Find the Area

Multiple Choice

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

Radius

Central Angle

Sine

Apothem

Multiple Choice

Find the area of this regular polygon

81.8 m²

204.4 m²

408.8 m²

40.8 m²

Multiple Choice

Find the area.

12.75

191.25

19.125

95.625

Multiple Choice

Find the area of the shaded region.

13.5

67.5

13.5

Surface Area of Prisms

Let's look at a few NETS of 3-D figures...

Example: Finding the Surface Area of a Right Prism

Step 1: Find the Apothem

Step 3: Plug into the formula
SA = aP + Ph

Step 2: Find the Perimeter of one of the bases.

Example: Finding the Surface Area of a Right Prism

Step 1: Find the Apothem

Step 3: Plug into the formula
SA = aP + Ph

Step 2: Find the Perimeter of one of the bases.

Multiple Choice

Find the lateral surface area of the shape shown? Use the left and right sides as the bases.

119.28 in²

102.48 in²

84 in²

101.76 in2

Multiple Choice

Find the lateral surface area of the figure shown.

672 cm²

480 cm²

576 cm²

864 cm²

Multiple Choice

Find the total surface area of the figure shown.

672 cm²

480 cm²

576 cm²

864 cm²

Surface Area of Cylinders

Lateral Area = Circumference of the circle X height of cylinder!

Important Formulas...

Find the Surface Area of the cylinder.

Step 1: Find the Area of one base of the circle
(A = Πr²)
Multiply by 2 (two bases)

Step 2: Find the Circumference of the circle
(C = 2Πr)
Multiply by the height

Step 3: Add the Area of the bases and the Lateral Area
(2B + L) or (2Πr²+ 2Πrh)

Find the Surface Area of the cylinder.

Step 1: Find the Area of one base of the circle
(A = Πr²)
Multiply by 2 (two bases)

Step 2: Find the Circumference of the circle
(C = 2Πr)
Multiply by the height

Step 3: Add the Area of the bases and the Lateral Area
(2B + L) or (2Πr²+ 2Πrh)

Multiple Choice

What is surface area?

Inside of the object

the sum of all the areas of all the shapes that cover the surface of the object.

Something Coach G made up?

Surface area is what you get when you boil unicorn tears.

Multiple Choice

Find the Total Surface area of the cylinder.

Use 3.14 for Π

62.8m

477.28 cm²

235.5 cm³

942 cm²

Multiple Choice

Find the total surface area of the figure. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

628.3 m²

1445.1 m²

1245 m²

816.8 m²

Class Assignment

Big Ideas Math

Complete: Surface Area of Prisms & Cylinders

Show all work!!!

Surface Area
(Prisms & Cylinders)

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