Surface Area of Prisms

The video tutorial introduces the concept of surface area, focusing on prisms. It explains the difference between lateral and total surface area and provides formulas for calculating them. The tutorial includes four examples: two with rectangular prisms and one with a triangular prism, demonstrating how to calculate surface area using both nets and formulas. The video concludes with a summary and encourages students to review their notes.

What defines a prism in terms of its faces?

• The faces are in the shape of hexagons.

• The faces are in the shape of rectangles.

• All faces are circles.

• All faces are triangles.

What is the surface area of a three-dimensional figure?

• The height of the figure.

• The perimeter of its base.

• The sum of the areas of all its faces.

• The volume of the figure.

How does lateral surface area differ from total surface area?

• Lateral surface area includes the bases.

• Lateral surface area excludes the bases.

• Total surface area excludes the bases.

• Total surface area is only the bases.

In the formula for the surface area of a prism, what does the perimeter of the base represent?

• The height of the prism.

• The distance around the base.

• The volume of the prism.

• The area of the base.

In Example 1, what is the area of the top and bottom faces of the rectangular prism?

• 36

• 72

• 45

• 20

In Example 1, what is the total surface area of the rectangular prism?

• 180

• 202

• 112

• 90

In Example 2, what is the area of each of the four identical faces?

• 18

• 48

• 24

• 12

In Example 2, what is the total surface area of the rectangular prism?

• 84

• 66

• 90

• 72

In Example 3, what is the area of one of the triangular bases?

• 12

• 24

• 96

• 48

In Example 3, what is the total surface area of the triangular prism?

• 576

• 180

• 480

• 300