diameter of cubiod in matlab

To find the diameter of a cuboid in MATLAB, you can use the built-in function norm to calculate the distance between any two points in a 3D coordinate system. The maximum distance between any two points on the surface of the cuboid is equal to the diameter.

Here is an example code snippet that calculates the diameter of the cuboid with dimensions a, b, and c:

main.m
% Define cuboid dimensions
a = 3; 
b = 4; 
c = 5;

% Define the corner points of the cuboid
x = [-a/2 a/2 a/2 -a/2 -a/2 a/2 a/2 -a/2];
y = [-b/2 -b/2 b/2 b/2 -b/2 -b/2 b/2 b/2];
z = [-c/2 -c/2 -c/2 -c/2 c/2 c/2 c/2 c/2];

% Calculate distances between corner points
distances = pdist([x' y' z']);

% Find maximum distance between corner points
diameter = max(distances);

% Plot the cuboid
figure; hold on;
fill3(x([1:4 1]), y([1:4 1]), z([1:4 1]), 'red') % front side
fill3(x([5:8 5]), y([5:8 5]), z([5:8 5]), 'blue') % back side
fill3(x([1 2 6 5]), y([1 2 6 5]), z([1 2 6 5]), 'green') % top side
fill3(x([2 3 7 6]), y([2 3 7 6]), z([2 3 7 6]), 'yellow') % right side
fill3(x([3 4 8 7]), y([3 4 8 7]), z([3 4 8 7]), 'cyan') % bottom side
fill3(x([4 1 5 8]), y([4 1 5 8]), z([4 1 5 8]), 'magenta') % left side
axis equal; view(-30,30); box on;
title(['Cuboid with dimensions ', num2str(a), ' x ', num2str(b), ' x ', num2str(c), ' units']);
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This code defines the dimensions of the cuboid, and then defines the coordinates of the eight corner points of the cuboid. It then calculates the distances between these points using the pdist function, and finds the maximum distance between all pairs of points to get the diameter of the cuboid. Finally, it plots the cuboid using the fill3 function to create six faces of the cuboid.

The output will be a 3D plot of the cuboid with its dimensions and the calculated diameter in the title of the figure.

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