# Surface Area of Prisms

Shodor > Interactivate > Lessons > Surface Area of Prisms

### Abstract

This lesson is designed to introduce students to the concept of surface area and generalize the formula for all prisms.

This lesson is designed to follow the Surface Area of a Rectangular Prism lesson.

### Objectives

Upon completion of this lesson, students will:

• have a better understanding of surface area.
• understand how to solve for the surface area of triangular prisms
• understand the meaning of the slant height of triangular prisms
• understand a generalization for finding the surface area of all prisms

### Student Prerequisites

• Arithmetic:: Students must be able to:
• perform integer and rational arithmetic
• find the area of shapes (squares, rectangles, triangles)

### Teacher Preparation

• Physical manipulative objects of different shaped prisms
• Paper and pencil

### Key Terms

 surface area A measure of the number of square units needed to cover the outside of a figure

### Lesson Outline

1. Focus and Review

Remind students of what has been covered in previous lessons and have students review the following:

• Basic concept of surface area as covered in previous lesson
• Process for finding surface area of a rectangular prism
• Area of shapes (squares, rectangles, triangles, and circles)
2. Objectives

Let students know what they will be doing and learning during class. Say something like this:

• Today we are going to be extending yesterday's lesson on surface area to all types of prisms.
• We will be using the Surface Area and Volume applet again today, but please do not open your computers until I instruct you to do so.
3. Teacher Input
• Lead students in a discussion about generalizing the formula for surface area of all types of prisms.
4. Guided Practice
• Introduce Surface Area and Volume applet to any students who are unfamiliar with the applet.
• Make sure that students are using Triangular Prism from the drop-down menu.
• Engage students in a discussion about slant height and have students practice finding the slant height of the triangle.
• Note: If students will be using the Compute mode for finding only the surface area of the triangular prisms and not the volume, show the students the pop-up box that will appear indicating that the Volume input is incorrect.
5. Independent Practice
• Have students open the Surface Area and Volume applet to Compute mode and choose Triangular Prism from the drop-down menu.
• Students should work in pairs to find the volume and surface area of triangular prisms using the applets.
• At the end of the lesson, students should open the applet scoreboard and copy the percantage of problems answered correctly of each type (volume, surface area, slant height). Students can indicate to the instructor the type of problem on which they received the lowest percentage and this information can be used for remediation and review.
• Teacher should monitor the classroom for questions and make sure that students are on the correct website.
6. Closure
• You may wish to bring the students back together to discuss any problems that were especially hard for students to solve. Once the students have been allowed to share what they found, summarize the previous lessons about surface area and volume for prisms.

### Alternate Outline

This lesson can be rearranged if there is only one available computer:

• Instead of having students use the applet in pairs, display the Compute mode on a classroom computer, record the dimensions on the whiteboard, and have students work independently to solve for the volume, surface area, and slant height. When students have computed the volume, surface area, and slant height, have one student enter the numbers to check the answers.

### Suggested Follow-Up

• After students have mastered the volume and surface area of prisms, you can begin to discuss the volume and surface area of other three-dimensional figures including pyramids, cones, and spheres. 