# Squares and Cubes

Warmup

Activity #1

`Surface Area Review`

In this activity, you are going to use the applet below to review the fundamental concept of surface area. • Set the upper slider to L = 1. ​
• Note the number of squares in the box. ​
• Move the slider to L = 2 and move the second slider to the right. ​
• Note the number of squares in the box. ​
• Continue to repeat the steps until L = 10.

Activity #2

` Compare the Area of a Rectangle and a Square.`

Use the applet below to make a comparison between area of a square and that of a rectangle. • Use the Ruler or Distance tool to compare the side lengths of the figures.​ Use the red spot on the ruler to rotate it.
• Use the Angle tool to verify if the angles are 90 degrees (measure angles in the counter-clockwise direction.)​
• Use the parallel line tool to verify that the opposite sides are parallel.

Activity #3

`Build a Cube from Unit Cubes.`

Use the 32 snap cubes in the applet’s hidden stack to build the largest single cube you can. Each small cube has side length of 1 unit. • Create 32 cubes from the single cube in the applet below.
• Use the created cubes to build the largest cube that you can.
• Then answer the questions below.