First Colony Foundation Using Archaeology and Historical Research to Find Sir Walter Raleigh's Roanoke Island Colonies
In Search of the First Colony

Ditch Corner

Contents
The Earthwork
Ditch
Ditch Corner
Ditch Prism
Ditch Wedge
Wall
Wall Corner
Wall Prism
Wall Wedge
Results
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The ditch's corner sectors were all assumed to have a square base and all be the same size in the calculations. In order to do this, the sector was considered a rectangular prism. The volume of the prism was calculated using the volume formula: height * width * length. Then the volume of the remaining dirt was subtracted from the total volume using formulas, (1/2) * B * H * n and (1/3) * H * B^2, where n is the average length of one of the sides.

Volume of Corner = H * L * W - 2[(1/2) * B * H * n] - 3[(1/3) * H * B^2]
L - Total Length
W - Width - side on the right of the length
B - base
H - Height
n - average length of one side

Minimum Estimate

Maximum Estimate

H

4.8

5

L (average)

7.4

10.3

W (average)

9

10.3

B

3.4

4.1

N (length)

4

6.2

Volume

994.96

1596.5

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