Scaling-up

Scaling-up

What happens to the volume and surface area of a solid as it is scaled up or down?

1. Open your SketchUp or Geogebra file from Task 3.

2. Use your notebook file from Tasks 1 and 3 to record your observations.

3. Insert the images you create before adding text to enhance your explanation.

   1. Either by using the Scale tool (SketchUp) or by adjusting the lengths of the sides (GeoGebra), increase or decrease the scale of your object. Multiply the length of each dimension by the same number (this number is the scale factor).

   2. What is the effect on the area of each face and total surface area when the dimensions are all changed by the same scale factor?

4. Use the following Shodor interactive to investigate the effect of doubling the length of each side of a cube.

5. What can you conclude about the effect on the volume of a solid when the dimensions are doubled?

6. Can you create a similar construction that shows the case for when the dimensions are tripled?

7. What can you conclude about the effect on the volume of a solid when the dimensions change in the same ratio?