1. Changes in scale lab Essential questions:
How does the volume of a rectangular prism change when the length, width, or height is changed?
How does the surface area of a rectangular prism change when the length, width, or height is changed?

2. Surface Area Definition:
The sum of the areas of all of the faces of a three-dimensional figure.
Ex. How much construction paper will I need to fit on the outside of the shape?

3. Volume
Definition:
The measure in cubic units of the interior of a solid figure; or the space enclosed by a solid figure.
Ex. How much sand will it hold?

4. Surface Area of a Rectangular Prism
Ex:
How much construction paper would I need to fit on the outside of a particular rectangular prism?
Formula:
S.A. = 2LW + 2Lh + 2Wh

5. Volume of a Rectangular Prism
Ex:
How much sand would I need to fill the inside of a particular rectangular prism?
Formula:
V = L*W*h

6. Lab results Explain how changing an attribute affects volume. (x 2)
Explain how changing an attribute affects surface area (x 2)
Explain how changing an attribute affects volume. (x ½ )
Explain how changing an attribute affects surface area. (x ½ )

7. Journal prompts
Is there a direct relationship between changing one attribute and volume?
Is there a direct relationship between changing one attribute and surface area?

8. Critical information
Changing one attribute of a prism has a direct effect on the prism’s volume.
Ex. Doubling the length will result in doubling the volume
Changing one attribute of a prism has no direct effect on the prism’s surface area.

9. Further investigation
Predict what would happen if you changed two attributes of the prism? Three attributes of the prism?
Test it out
Will the same pattern occur with other prisms and 3D shapes?

10. How do volume and surface area scale in relation to the scale factor?
If Solid X is similar to Solid Y by a scale factor, then the surface area of X is equal to the surface area of Y times the square of the scale factor.
If Solid X is similar to Solid Y by a scale factor, then the volume of X is equal to the volume of Y times the cube of the scale factor.