# Surface Area: Intuitive Introduction

- Author:
- Tim Brzezinski

## STUDENTS:

**To explore this resource in Augmented Reality, see the directions (below) that follow the questions.**

## 1.

How many square units (i.e. "squares") appear on 1 **pink face**?
How many square units (i.e. "squares") appear on 1 **gold face**?
How many square units (i.e. "squares") appear on 1 **white face**?

## 2.

Use your answers for (1) to determine the TOTAL SURFACE AREA of this rectangular prism. That is, how many square units, or squares, cover the ENTIRE SURFACE of this rectangular prism?

## 3.

How many square units (i.e. "squares") appear on 1 **pink face**?
How many square units (i.e. "squares") appear on 1 **gold face**?
How many square units (i.e. "squares") appear on 1 **white face**?

## 4.

Use your answers for (3) to determine the TOTAL SURFACE AREA of this rectangular prism. That is, how many square units, or squares, cover the ENTIRE SURFACE of this rectangular prism?

## 5.

Without looking up anything on another tab in your internet browser, describe how we can determine the total surface area (number of squares) that cover the entire surface of this rectangular prism. *Be specific! *

## TO EXPLORE IN AUGMENTED REALITY:

**Search GeoGebra Resources**input box, type

**fmbmkpj7**(Note this is the resource ID = last 8 digits of the URL for this resource.) 3) In the resource that uploads, zoom out and/or adjust the LENGTH, WIDTH, & HEIGHT sliders to create a prism with dimensions you like. 4)

**Additional Notes:**The

**slider named "openclose"**will cause the rectangular prism to fold out into its net. The

**slider named "options"**will cause different faces of the prism to appear and disappear. The

**slider named "Filling"**will change color opacity of each of the faces.