How do I incorporate multiple values of the Z-coordinate into my calculation of projection area?

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Suppletory
Suppletory 2017-11-21
Hello, I have a matrix A that consists of the coordinates of the 8 corners of 3 cubes, for a total of 24 points. I first import these coordinates in X,Y,Z matrices and then I want to plot and calculate the area of the projection on the X-Z plane. However, due to overlapping X and Y coordinates, half of the Z values are ignored. How do I incorporate multiple values of Z into my calculation of projection area?
clear all
close all
clc
A=[-100 -40 50
-100 -40 5
-80 -40 50
-80 -40 5
-100 5 5
-100 5 50
-80 5 50
-80 5 5
-100 0 50
-100 0 5
20 0 5
20 0 50
-100 50 5
-100 50 5
20 50 50
20 50 5
-30 70 50
-30 70 5
5 70 5
5 70 50
-30 120 50
-30 120 5
5 120 50
5 120 5]; %3 cubes Coordinate Matrix
[X,Y] = meshgrid(-150:1:150,-150:1:150);
Z=zeros(size(X,1),size(X,2));
for i=1:length(A)
[p,j]=find(X==A(i,1));
[k,l]=find(Y==A(i,2));
Z(k(1),j(1))=A(i,3);
end
plot(X(1,:),max(Z))
hold on
plot(X(1,:),min(Z),'r')
polyarea(X(1,:),max(Z))
The above is the code I am using

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