Lateral and Surface Area of Prisms and Cylinders

Surface Area

The total area of the surface of a three-dimensional object.

We have two types of Surface Area

• Total Surface Area- The total area of each face of the 3D figure.

• Lateral Surface Area- The area around the 3D figure. (Doesn't include the top or bottom of the figure)

Understanding the Formula Chart

S- Represents Surface Area

P- Represents Perimeter of the base

B- Represents Area of the base

l- Represents the Slant Height

h- Represents Height

r- Represents Radius

Prism

We name the prism based off of the two congruent bases.

Pyramid

Pyramids are also named by their base. The difference is a Pyramid only has one base and all edges meet at a single point.

Cylinder

Similar to a prism it is solid object with two congruent bases. (Bases will be circles)

Cone

Like a pyramid it also has one base that meets up to one single point. (the base will be a circle)

Multiple Choice

What is the surface area of this figure?

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 1500 cm ²

Multiple Choice

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a surface area of 650 cm². What is the height of the brick?

• 20 cm

• 43 cm

• 14 cm

• 10 cm

Multiple Choice

Calculate the surface area of the given shape. Round to the nearest tenth.

• 282.7 in²

• 56.5 in²

• 188.5 in²

• 245.0 in²

Multiple Choice

Given a cylinder with a surface area of 2543 cm² and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.

• 36.0 cm

• 45.0 cm

• 10 cm

• 282.6 cm

Multiple Choice

Calculate the surface area.

• 54 m²

• 96 m²

• 99 m²

• 61 m²

Multiple Choice

Calculate the surface area.

• 12.0 m²

• 8.0 m²

• 5.3 m²

• 20.0 m²

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?

• 75.40 in²

• 75.40 in

• 175.93 in

• 175.93 in²

Multiple Choice

Calculate the surface area.

• 56.5 in²

• 91.5 in²

• 169.56 in²

• 28.3 in²

Multiple Choice

Calculate the surface area of the given prism.

• 316 cm²

• 352 cm²

• 440 cm²

• 292 cm²

Multiple Choice

A party hat has a diameter of 18 centimeters and a slant height of 7 centimeters. Calculate the amount of material it takes to make this party hat.

• 904.8 cm²

• 395.8 cm²

• 254.5 cm²

• 452.4 cm²

Multiple Choice

An ice cream cone has a radius of 2 inches and a slant height of 10 inches. What is the surface area of this cone?

• 138.2 in²

• 12.6 in²

• 125.7 in²

• 150.8 in²

Poll

What is the name of this shape?

• Triangular Pyramid

• Cone

• Rectangular Prism

• Triangular Prism

Poll

What is the name of this shape?

• Cone

• Pentagonal Prism

• Pentagonal Pyramid

• Pentagonal Sphere

Multiple Choice

Find the total surface area of the prism.

• 48 square inches
• 64 square inches
• 88 square inches
• 76 square inches

Multiple Choice

To calculate the amount of cardboard needed to make a cereal box, which of the following should you find: 

• Area
• Perimenter
• Surface Area
• Volume

Multiple Choice

How many total faces does this shape have? (hint: include the ones you don't see!)

• 3
• 5
• 1
• 6

Multiple Choice

What is the surface area of this figure?

• 3000 cm ²
• 164 cm ²
• 236 cm ²
• 328 cm ²

Multiple Choice

Find the Surface Area

• 556 cm²
• 278 cm²
• 680 cm²
• 340 cm²

Multiple Choice

What is the surface area of this figure?

• 200 cm ²
• 800 cm ²
• 400 cm ²
• 100 cm ²

Multiple Choice

Find the surface area of the rectangular prism.

• 140 in.²
• 83 in.²
• 166 in. ²
• 100 in.²

Multiple Choice

A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of the brick? 

• 650 cm²
• 600 cm²
• 525 cm²
• 450 cm²

Multiple Choice

What is surface area?

• The measure of the amount of space inside of a solid figure
• The sum of all the areas of all the shapes that cover the object

Multiple Choice

________ is the amount of space covering the outside of a 3D shape.

• Surface Area

• Volume

Multiple Choice

What is total surface area?

• The sum of the surface areas of all its faces excluding the bases of the solid.

• The sum of the surface areas of all the faces of the solid.

Multiple Choice

Find the Total Surface area of the cylinder. 

• 62.8m
• 477.28 cm²
•  235.5 cm³
• 942 cm²

Multiple Choice

What is the total surface area of the cone?

• 91.374 in²

• 56.52 in²

• 169.56 in²

• 28.3 in²

Multiple Choice

Find the Total Surface Area of the given figure.

• 477.52m²

• 427.26m²

• 578.05m²

• 628.32m²

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

Multiple Choice

Find the surface area

• 60.4 m²

• 188.4 m²

• 94.2 m²

• 881.9 m²

Multiple Choice

Find the surface area

• 140.25 cm^2
• 439.82 cm^2
• 219.91 cm^2
• 192.25 cm^2

Multiple Choice

What shape is this?

• Cylinder
• Rectangular Prism
• Cube
• Cone

Multiple Choice

Find the surface area of the rectangular prism.

• 94 cm. squared
• 60 cm. squared
• 12 cm. squared
• 19 cm. squared

Multiple Choice

Find the Surface Area

• 556 cm²
• 278 cm²
• 680 cm²
• 340 cm²

Multiple Choice

Find the surface area of the rectangular prism with the following dimensions: 
length = 9 m
height = 10 m
width = 12 m

• 630 m squared
• 636 m squared
• 710 m squared
• 1080 m squared

Multiple Choice

Find the surface area of this figure.

• 148 cm²
• 120 cm²

Multiple Choice

_{Find the Surface Area}

• 500 ft²

• 515 ft²

• 525 ft²

• 510 ft²

Multiple Choice

Find the total surface area of the triangular prism

• 92

• 86

• 106

• 112

Multiple Choice

Find the surface area of the square pyramid.

• 15 square meters
• 39 square meters
• 69 square meters
• 30 square meters

Multiple Choice

Find the surface area of the square pyramid.

• 64 square inches
• 48 square inches
• 112 square inches
• 28 square inches

Multiple Choice

What is the slant height of the triangular pyramid?

• 12 feet

• 6 feet

• 5.2 feet

Multiple Choice

^{_{Find the Surface Area}}

• 15m²
• 16m²
• 18m²
• 20m²