Objective

• Find the surface area and volume of each box.
  • By clicking on the flattened sides of the box, you can see what the box looks like when the sides are folded up.

 How to Use

• Along the left side, click on a cube, a row of cubes, or a layer of cubes to fill the box.
• The Undo button takes away the last piece you placed in the box; the Clear button removes all of the pieces from the box.
• Use the Customize wheel to change the width, depth, and height to see boxes of various sizes. 20 is the maximum width, depth, and height.
• You can also randomize the dimensions by clicking on the Next arrow.

Consider the following questions:

• How many unit cubes are needed to fill a box that measures 3 × 5 × 7?
• How many squares are needed to cover that box?
• What about the volume and surface area of a box that measures 5 × 7 × 3?
• What is the volume and surface area of a box that measures 7 × 3 × 5?

In general, how can you find the volume of a box if you know the width, depth, and height?

How about its surface area?