Surface Area and Volume of Prisms

This video tutorial covers the concept of finding the surface area of triangular prisms. It begins with an introduction to triangular prisms and explains how to use a net to calculate their surface area. The tutorial includes three detailed examples, each demonstrating the step-by-step process of calculating the surface area for prisms with different dimensions and shapes. The video aims to equip students with the skills to find the surface area of any triangular prism using orthogonal drawings and nets.

What is a triangular prism?

• A prism with rectangular bases

• A prism with triangular bases

• A prism with hexagonal bases

• A prism with circular bases

When the bases of a triangular prism are equilateral triangles, what can be said about the rectangular faces?

• They are all different

• They are all congruent

• They are all squares

• They are all equal in area

What is the purpose of using a net for a triangular prism?

• To find the volume

• To find the surface area

• To find the base length

• To find the height

How many rectangular faces does a triangular prism have?

• Five

• Four

• Three

• Two

In the first example, what is the base of the triangles?

• 0.8

• 1

• 2

• 3

What is the total area of the three rectangles in the first example?

• 7

• 4

• 5

• 6

In the second example, what is the height of the triangles?

• 8

• 5.2

• 6

• 7

What is the total surface area of the triangular prism in the second example?

• 200 cm²

• 157.6 cm²

• 250 cm²

• 126 cm²

In the third example, what is the base of the triangles?

• 5

• 15

• 8

• 20

What is the total area of the purple rectangle in the third example?

• 500

• 400

• 300

• 340