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

Ditch Wedge

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 wedge sectors are assumed to be the same size in order to simplify calculations. The total volume of the wedge was calculated using the formula for a triangular prism and assigned the variable [L]: [L] = Volume of total sector = (1/2) * B * H * W. From this, both the volume of the pyramid from the narrower end of the wedge and the volume of the slope at the other end of the wedge were subtracted.

B - width of the top of the slope
H - total length of the sector
W - height of the slope

The volume of the pyramid, [M], was calculated using (1/3) * S * y * W where W is the height of the pyramid, y is the length of the pyramid< along the bottom of the trench, and S is length of the pyramid along the outside edge.

The volume of the slope, [N], was calculated using (1/2) * x * W * B - 2[(1/3) * z * x * W], where x is the length of the base of the slope, W is the height of the slope, B is the width of the top of the slope, z is the difference between B and the width at the base of the slope.

Minimum Estimate

Maximum Estimate

B

6

7

H

9

10.3

W

4.8

5

S

3.4

4.1

Y

3.1

4.2

X

3

4

Z

1.6

0.9

[L]

129.6

180.25

[M]

16.864

28.7

[N]

27.84

58

Dirt removed per sector

84.896

93.55

Total Dirt Removed

848.96

935.5

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