Surface Area of Prisms and Cylinders

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

7.G.B.6, 1.G.A.1, 2.G.A.1

Standards-aligned

Deb Scott

Used 30+ times

FREE Resource

8 Slides • 20 Questions

Surface Area of Prisms and Cylinders

By Deb Scott

Objective: Find the Surface Area of Prisms and Cylinders

What is a prism?

A Prism is a solid object with a uniform cross-section and all sides flat.

In oblique prisms, some of the lateral faces are nonrectangular.

Oblique Prisms

In right prisms, the lateral faces are rectangles and a lateral edge is an altitude

Right Prisms

We will only be using right prisms

for this lesson

Surface Area vs. Lateral Area

Surface Area is the area of all the sides of the 3D figure, including the bases.
Lateral Area DOES NOT include the bases.

Area abbreviations

P = Perimeter of the Base
B = Area of the Base
h = height between the bases
r = radius of a circular base
L.A. = Lateral Area
S.A. = Surface Area

Multiple Choice

What does "P" stand for in the surface area formulas?

Perimeter

Parallel

Perimeter of the Base

Multiple Choice

What does "B" stand for in the surface area formulas?

Bottom of the Prism

Perimeter of the Base

Area of the Base

Lateral and Surface Area of a Prism

Lateral Area of a right prism is the product of the perimeter of the base and the height of the prism.

L.A. = ph

Surface area of a right prism is the sum of the lateral area and the areas of the two bases.

S.A. = L.A. + 2B

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need? Is this asking for Lateral or Surface area?

Lateral Area

Surface Area

Multiple Choice

What is lateral area?

Inside of the object

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

The sum of all the lateral faces of the object.

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need?

Which formula can be used to find the surface area of the present?

SA=Ph+2B

SA=2πrh+2πr²

SA=Ph

V=Bh

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need?
How much wrapping paper is needed?

300 in²

558 in²

327 in²

354 in²

Lateral Area and Surface Area of a Cylinder

L.A. = 2πrh or L.A. = πdh

S.A. = L.A. + 2B or S.A. = 2πrh + 2πr²

Multiple Choice

What is the surface area formula for a cylinder?

SA = πrl + πr²

SA = 2πrh + 2πr²

SA = 4πr²

SA = πr²h

Multiple Choice

Find the total surface area of the cylinder.

100.53 square inches

351.86 square inches

251.33 square inches

50.27 square inches

Fill in the Blanks

Find: LA Use 3.14 for pi and round to the nearest tenth

Type answer...

Fill in the Blanks

Find: SA

Type answer...

Multiple Choice

Find the Surface Area

556 cm²

278 cm²

680 cm²

340 cm²

Multiple Choice

_{Find the Surface Area}

500 ft²

515 ft²

525 ft²

510 ft²

Multiple Choice

Find the total surface area of the prism.

161 square feet

1,700 square feet

75 square feet

186 square feet

Fill in the Blanks

Find L.A.

Type answer...

Fill in the Blanks

Find S.A.

Type answer...

Multiple Choice

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.

What is the surface area of the label?

150.72 in²

100.48 in²

24 in²

75.36 in²

Multiple Choice

A wax coating is used to cover a wheel of cheese in order to keep it fresh. If the cheese wheel has a diameter of 8 in and a height of 5 in, calculate the total surface area needed to cover the entire wheel of cheese.

40 in²

125.7 in²

175.9 in²

226.2 in²

Multiple Choice

A cylinder has a diameter of 6 mm and a height of 18 mm. Find its lateral surface area.

339.29 mm²

62.83 mm²

395.84 mm²

169.65 mm²

Multiple Choice

What shape is this?

Cylinder

Rectangular Prism

Cube

Cone

Multiple Choice

What shape is this?

Cylinder

Rectangular Prism

Cube

Cone

Surface Area of Prisms and Cylinders

By Deb Scott

Objective: Find the Surface Area of Prisms and Cylinders

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