__PROGRAM SET 2 - MY BOX__

:
**You must
include ALL 4 steps in the design recipe.**

:
**Do your
examples by HAND and staple to your printed code.**

:
**Test with:**

**10, 20 and 30 pixels and****Data from your 2 boxes. You may measure and/or estimate the values.**

1. Make a BOX where:

a. the width is the longest length

b. the height is a little more than 1/4 the length

c. the depth is a little less than ½ the length.

d. Plan this first using plain paper.

e. Label the variable size of ALL sides.

f. I will give you card stock for your final project.

2. Write 3 auxiliary functions that will calculate the perimeter (in purpose state what perimeter using – edges, ribbon around), surface area and volume of a box given the dimensions.

3. Write 3 auxiliary functions that will calculate the perimeter (use same purpose as in #2), surface area and volume of a box given the width, the height scale factor and the depth scale factor. Reuse the above functions.

4. Write a function that will calculate the cost of producing your box given the cost of 1 square inch and number of boxes to be made.

__EXTRA CREDIT__

§ Write Scheme functions that will draw both the 2-D and 3-D box diagram.

§ Write any additional auxiliary functions and a main function to enhance the Box project.