PLEEEEEASE HELP! POSTED THIS BEFORE! VERY HARD PROBLEM! please help me???

Question

Cut each of the 8 pieces of paper into squares measuring 8 inches by 8 inches.

2. Using a pencil and ruler, mark each side off in 1/2 inch increments so that you have created a piece of graph paper that has 16 squares by 16 squares. Repeat this procedure for all 8 pieces of paper.

3. Take one sheet of graph paper and cut out one square out of each of the 4 corners. Fold up the 4 sides to create a box (without a lid) that has 14 squares across the bottom and has a height of 1 square up. You may want to tape the sides in place. This is your first of 8 boxes.

4. Repeat step #3 cutting 1 inch squares from each of the 4 corners and folding up the sides. Continue with the remaining 6 pieces of paper increasing the size of the squares that you will cut out by 1/2 inch. Can the last piece of paper have 4 inch squares cut from each corner? Why or why not?

5. Create a data table like the example data table below.
Note: The measurements are in inches, not squares. Each square is 1/2 inch. Volume should be given in cubic inches.

http://img.photobucket.com/albums/v711/shannayanna476/hlp.gif


6. Find the length, width, height, and volume (V = lwh) of each of the 7 boxes, to complete the data table.

Answer 1

First, it is easier to do and visualize counting the number of squares, regardless of their size. For this I will leave off the volume.
1) 14 14 1
2) 12 12 2
3) 10 10 3
4) 8 8 4
5) 6 6 5
6) 4 4 6
7) 2 2 7

As you can see, if you tried to do this to the last piece of paper, you would have dimensions of 0 0 8. The zero, zero is not possible.

Now, lets fill out the real table using the 0.5 inch per square dimension (or multiply the above by 0.5, then multiply L*W*H for volume).

1) 7 7 .5 24.5
2) 6 6 1 36
3) 5 5 1.5 37.5
4) 4 4 2 32
5) 3 3 2.5 22.5
6) 2 2 3 12
7) 1 1 3.5 3.5

Happy Holidays!

PS, I hate how yahoo removes double spaces!

Answer 2

Hint:
4 4" squares is the whole sheet of paper.
The boxes just get taller and narrower till the last
which is the limit of the series, (impossible).
Make your table starting with the first box.
After that the height increases by 1/2", and the
base decreases by 1" for each step.

Answer 3

box # L W H V
1...........7...7...0.5...24.5
2...........6...6....1....36
3...........5...5....1.5..37.5
4...........4...4....2.....32
5...........3...3....2.5..22.5
6...........2...2....3.....12
7...........1...1....3.5..3.5
8............0...0....4......0 *not only is there no volume but you can't fold it.