Surface Area of Prisms and Cylinders

The video tutorial covers the surface area of prisms and cylinders, starting with definitions and components of prisms, such as bases and lateral faces. It explains how to calculate the surface area of prisms using examples of pentagonal and rectangular prisms. The tutorial then shifts to cylinders, describing them as circular versions of prisms and detailing how to calculate their surface area. Finally, it addresses solving for missing dimensions when given the surface area, using both prisms and cylinders as examples.

What defines a prism?

• A shape with only triangular faces

• A polyhedron with two congruent faces in parallel planes

• A solid object with a circular base

• A three-dimensional object with only one base

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

In a prism, what are the congruent faces called?

• Lateral faces

• Vertices

• Edges

• Bases

Tags

CCSS.7.G.A.3

How is the lateral area of a prism calculated?

• Sum of the areas of all faces

• Sum of the areas of the bases

• Area of the base times the height

• Perimeter of the base times the height

Tags

CCSS.7.G.B.6

What is the formula for the surface area of a prism?

• 2b + 2P * H

• P * H

• b + P * H

• 2b + P * H

Tags

CCSS.7.G.B.6

What is the relationship between the lateral area and the surface area of a prism?

• No relationship

• They are equal

• Surface area includes lateral area

• Lateral area is greater than surface area

Tags

CCSS.7.G.B.6

How do you find the base area of a rectangular prism?

• Length times height

• Height times width

• Length plus width

• Length times width

Tags

CCSS.7.G.B.6

What is the perimeter of a base used for in calculating the surface area of a prism?

• To calculate the volume

• To determine the height

• It is not used in the calculation

• To find the lateral area

How is the surface area of a cylinder calculated?

• 2πr^2 + πrh

• 2πr^2 + 2πrh

• πr^2 + πrh

• πr^2h

What does the 'h' represent in the formula for the surface area of a cylinder?

• The height of the cylinder

• The circumference of the base

• The radius of the base

• The diameter of the base

For a cylinder, what does the term 'lateral area' refer to?

• The volume of the cylinder

• The area of the top and bottom

• The area of the base

• The area around the cylinder