## Cubes

Fill a box with cubes, rows of cubes, or layers of cubes. The number of unit cubes needed to fill the entire box is known as the *volume* of the box. Can you determine a rule for finding the volume of a box if you know its width, depth, and height?

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.

By clicking on the flattened sides of the box, you can see what the box looks like when the sides are folded up.

Change the width, depth, and height to see boxes of various sizes. Find the surface area and volume of each box.

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?