Surface and Lateral Area

Multiple Choice

What does lateral mean when asked to find the lateral surface area?

• Means the bases and no sides.

• Means just  the sides.

S

If the problem does not say whether to find the
total or lateral surface area, find the total surface
area.

Lateral or Total?

Teacher Example: Lateral SA

Teacher Example: Total SA

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.

Is this looking for Lateral or Total surface area?

• Lateral

• Total

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

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.

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

• SA=2πrh+2r²

•  SA=2πrh

• SA=Ph+2B

• V=Bh

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

Which example requires you to find the surface area?

• Finding out how much water will fill a cylinder

• Finding out how much wrapping paper is needed to cover a present

• Finding the amount a container can hold

• Finding out how much wood is needed to build a fence in your back yard.

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

Find the LATERAL surface area of the cylinder.

• 471.24 square centimeters

• 157.08 square centimeters

• 314.16 square centimeters

• 296.72 square centimeters

Multiple Choice

Find the Total Surface area of the cylinder. Round to the nearest tenth.

• 62.8m

• 477.3 cm²

• 235.5 cm³

• 942.0 cm²

Multiple Choice

Find the LATERAL surface area of the cylinder. Round to the nearest hundredth.

• 100.53 square inches

• 351.86 square inches

• 251.33 square inches

• 50.27 square inches

Multiple Choice

Find the total surface area of the cylinder. Round to the nearest tenth.

• 60.4 m²

• 188.4 m²

• 94.2 m²

• 881.9 m²

Characteristics of a Triangular Prism:

Teacher Example: STAAR Formula

Steps:

1.)

Write the formula.

2.)

Plug the numbers into
the formula.

3.)

Solve.

Teacher Example: STAAR Formula

Total Surface Area:

S = Ph + 2B
S = (15)(14) + 2(10.75)
S = 210 + 21.5
S = 231.5 m²

P is the perimeter
of the base
(distance around
the triangle)

P = 5 + 5 + 5 = 15

h is the heightof the
prism, or the distance
between the 2 bases.

B is the area of the base (triangle).
B = ½bh
B = ½(5)(4.3)
B = 10.75

Student Problem: STAAR Formula

Steps:

1.)

Write the formula.

2.)

Plug the numbers into
the formula.

3.)

Solve.

Find the Lateral Surface Area of the Triangular Prism.

Student Problem: STAAR Formula

1.)

S = Ph

2.)

S = (48)(10)

3.)

480 cm²

Find the Lateral Surface Area of the Triangular Prism.

P = 16 + 12 + 20 = 48

●The height of the prism
connects the 2 bases.

●The bases are triangles.

Multiple Choice

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

• Perimeter

• Perpendicular

• Perimeter of the Base

• Pi

Multiple Choice

What shape is the base?

• Rectangle

• Triangle

• Square

• Trapezoid

Multiple Choice

How do you find the AREA of a TRIANGLE?

• Height x Base divided by 4

• Length x Width

• 1/3 (length x width)

• 1/2 (base x height)

Multiple Choice

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

Is this asking for Lateral or Total surface area?

• Lateral

• Total

Multiple Choice

Find the lateral surface area of the figure shown.

• 672 cm²

• 480 cm²

• 576 cm²

• 864 cm²

Multiple Choice

What is the total surface area of the triangular prism shown? 

• 468 in²

• 540 in²

• 576 in²

• 700 in²

Multiple Choice

What is the surface area of this prism?

• 503 cm²

• 461.5 cm²

• 223 cm²

• 520 cm²

A rectangular
prism is a
box.

Lateral Surface Area

Lateral Surface Area is the

area of the side faces. It does

not include the 2 bases.

base

base

base

base

To find the
perimeter of
the base, add
the sides of the
rectangle.

Teacher Example: Lateral S.A.

The height of the prism is the
distance between the 2 bases.

Teacher Example: Total S.A.

B is the area of the base. The
base is a rectangle.

P is the perimeter of the
base.

Student Example:

Find the Total Surface Area of the
rectangular prism. Use the STAAR
formula:

S = Ph + 2B

Student Example:

Multiple Choice

Find the lateral surface area of the prism.

Lateral means only sides NO BASES!

• 12 square inches

• 48 square inches

• 192 square inches

• 64 square inches

Multiple Choice

Find the surface area of the rectangular prism.

• 140 in.²

• 83 in.²

• 166 in. ²

• 100 in.²

Multiple Choice

Find the lateral surface area of the prism.

• 12 square inches

• 48 square inches

• 192 square inches

• 64 square inches

Multiple Choice

What is the total surface area of this figure?

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 100 cm ²