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

Wall Wedge

Contents
The Earthwork
Ditch
Ditch Corner
Ditch Prism
Ditch Wedge
Wall
Wall Corner
Wall Prism
Wall Wedge
Results
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The wall's wedge sectors were also assumed to be the same size in order to simplify calculations. Each wedge sector was broken into three geometric shapes to simplify the volume calculations: pyramid, trapazoidal prism, and a "third piece" similar to a smaller wedge.

The volume of the pyramids were calculated by multiplying a third (1/3) the width of the inside slope, x, the height of the fort wall, H, and the depth of the inside slope, I: (Vol = (1/3)*x*H*I).

The volume of the trapaziodal prisms were calculated by multiplying the length of the wall's flat top, T, width of the inside slope, x, and the height of the fort, H: (Vol = T*X*H).

The volume of the third piece was calculated by multiplying a half (1/2) the sum of the width of the outside slope, y, and 2 times the difference between the depth along the outside edge of the piece and the depth along the inside edge , m. Then (2/3) times m, the height of the wall, H, and the depth of the outside slope, n, was subtracted from that value.

Vol = 1/2*(y+2[I-n]) - (2/3*m*H*n)

Minimum Estimate

Maximum Estimate

H (Height of Wall)

5.2

5.5

I (Depth of Inside Slope)

5

5.1

x (width of inside slope)

3

5

T (Length of Flat Top)

1.8

2.1

M

0.9

1.7

n (Depth of outside slope)

2.1

2.3

y (width of outside slope)

5.2

5.5

Pyramid

26

46.75

Trapaziodal Prism

28.08

57.75

Third Piece

31.668

41.95583

Dirt Used (6x)

685.984

1171.647

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