Building your own Mt. of Dew
Since this is a challenge, it's expected that you will want to make your own. This is meant to help you.
If you're going to make a pyramid, I did a little calculation for you. As your numbers grow, and it's time to make a pyramid, you'll
need to decide what kind to make. How many sides works well for the number of cans you have? How many cans are in the base of the
Mountain? How tall will it be? How wide is the base?
I calculated the base sizes, number of levels, height, and total number of cans needed
for bases of 3, 4 or 6 sides.
I did 3, 4 and 6 sides because thoses are the easiest numbers to do if you want to make a 7 sided pyramid, go ahead but don't ask me.
I do reserve the right to be wrong on the calculations.
-Ryan Krueger
-RSKrueger@taylorcorp.com
| 3 sided |
|---|
| #total | #base | #level | height |
| 1 | 1 | 1 | 0.38' |
| 4 | 3 | 2 | 0.76' |
| 10 | 6 | 3 | 1.14' |
| 20 | 10 | 4 | 1.52' |
| 35 | 15 | 5 | 1.90' |
| 56 | 21 | 6 | 2.28' |
| 84 | 28 | 7 | 2.66' |
| 120 | 36 | 8 | 3.04' |
| 165 | 45 | 9 | 3.42' |
| 220 | 55 | 10 | 3.80' |
| 286 | 66 | 11 | 4.18' |
| 364 | 78 | 12 | 4.56' |
| 455 | 91 | 13 | 4.94' |
| 560 | 105 | 14 | 5.32' |
| 680 | 120 | 15 | 5.70' |
| 816 | 136 | 16 | 6.08' |
| 969 | 153 | 17 | 6.46' |
| 1140 | 171 | 18 | 6.84' |
| 1330 | 190 | 19 | 7.22' |
| 1540 | 210 | 20 | 7.60' |
|
| 4 sided |
|---|
| #total | #base | #level | height |
| 1 | 1 | 1 | 0.38' |
| 5 | 4 | 2 | 0.76' |
| 14 | 9 | 3 | 1.14' |
| 30 | 16 | 4 | 1.52' |
| 55 | 25 | 5 | 1.90' |
| 91 | 36 | 6 | 2.28' |
| 140 | 49 | 7 | 2.66' |
| 204 | 64 | 8 | 3.04' |
| 285 | 81 | 9 | 3.42' |
| 385 | 100 | 10 | 3.80' |
| 506 | 121 | 11 | 4.18' |
| 650 | 144 | 12 | 4.56' |
| 819 | 169 | 13 | 4.94' |
| 1015 | 196 | 14 | 5.32' |
| 1240 | 225 | 15 | 5.70' |
| 1496 | 256 | 16 | 6.08' |
| 1785 | 289 | 17 | 6.46' |
|
| 6 sided |
|---|
| #total | #base | #level | height |
| 1 | 1 | 1 | 0.38' |
| 8 | 7 | 2 | 0.76' |
| 27 | 19 | 3 | 1.14' |
| 64 | 37 | 4 | 1.52' |
| 125 | 61 | 5 | 1.90' |
| 216 | 91 | 6 | 2.28' |
| 343 | 127 | 7 | 2.66' |
| 512 | 169 | 8 | 3.04' |
| 729 | 217 | 9 | 3.42' |
| 1000 | 271 | 10 | 3.80' |
| 1331 | 331 | 11 | 4.18' |
| 1728 | 397 | 12 | 4.56' |
|
I also did you the favor of sorting them according to total number of cans. If you want to build one, and you know how many cans you have,
but don't know what size to shoot for, look it up on this table.
| Pyramid Building Table |
|---|
| #total | #base | #level | height | #sides |
| 4 | 3 | 2 | 0.76' | 3 sided |
| 5 | 4 | 2 | 0.76' | 4 sided |
| 8 | 7 | 2 | 0.76' | 6 sided |
| 10 | 6 | 3 | 1.14' | 3 sided |
| 14 | 9 | 3 | 1.14' | 4 sided |
| 20 | 10 | 4 | 1.52' | 3 sided |
| 27 | 19 | 3 | 1.14' | 6 sided |
| 30 | 16 | 4 | 1.52' | 4 sided |
| 35 | 15 | 5 | 1.90' | 3 sided |
| 55 | 25 | 5 | 1.90' | 4 sided |
| 56 | 21 | 6 | 2.28' | 3 sided |
| 64 | 37 | 4 | 1.52' | 6 sided |
| 84 | 28 | 7 | 2.66' | 3 sided |
| 91 | 36 | 6 | 2.28' | 4 sided |
| 120 | 36 | 8 | 3.04' | 3 sided |
| 125 | 61 | 5 | 1.90' | 6 sided |
| 140 | 49 | 7 | 2.66' | 4 sided |
| 165 | 45 | 9 | 3.42' | 3 sided |
| 204 | 64 | 8 | 3.04' | 4 sided |
| 216 | 91 | 6 | 2.28' | 6 sided |
| 220 | 55 | 10 | 3.80' | 3 sided |
| 285 | 81 | 9 | 3.42' | 4 sided |
| 286 | 66 | 11 | 4.18' | 3 sided |
|
| #total | #base | #level | height | #sides |
| 343 | 127 | 7 | 2.66' | 6 sided |
| 364 | 78 | 12 | 4.56' | 3 sided |
| 385 | 100 | 10 | 3.80' | 4 sided |
| 455 | 91 | 13 | 4.94' | 3 sided |
| 506 | 121 | 11 | 4.18' | 4 sided |
| 512 | 169 | 8 | 3.04' | 6 sided |
| 560 | 105 | 14 | 5.32' | 3 sided |
| 650 | 144 | 12 | 4.56' | 4 sided |
| 680 | 120 | 15 | 5.70' | 3 sided |
| 729 | 217 | 9 | 3.42' | 6 sided |
| 816 | 136 | 16 | 6.08' | 3 sided |
| 819 | 169 | 13 | 4.94' | 4 sided |
| 969 | 153 | 17 | 6.46' | 3 sided |
| 1000 | 271 | 10 | 3.80' | 6 sided |
| 1015 | 196 | 14 | 5.32' | 4 sided |
| 1140 | 171 | 18 | 6.84' | 3 sided |
| 1240 | 225 | 15 | 5.70' | 4 sided |
| 1330 | 190 | 19 | 7.22' | 3 sided |
| 1331 | 331 | 11 | 4.18' | 6 sided |
| 1496 | 256 | 16 | 6.08' | 4 sided |
| 1540 | 210 | 20 | 7.60' | 3 sided |
| 1728 | 397 | 12 | 4.56' | 6 sided |
| 1785 | 289 | 17 | 6.46' | 4 sided |
|
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