Problem 637. Volume of a Parallelepiped

Solution 834276

Submitted on 21 Feb 2016 by William

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Test	Status	Code Input and Output
1	Pass	%% vectors=[1 0 0;0 1 0;0 0 1]; % Unity Cube V=1; assert(isequal(Parallelepiped_volume(vectors),V)) a = 0 0 1 b = 1 V = 1
2	Pass	%% vectors=[2 0 0;0 2 0;0 0 2]; % 2x2x2 Cube V=8; assert(isequal(Parallelepiped_volume(vectors),V)) a = 0 0 4 b = 8 V = 8
3	Pass	%% vectors=[2 0 0;0 2 0;1 0 1]; % Slanted one side 45 degrees, half h V=4; assert(isequal(Parallelepiped_volume(vectors),V)) a = 0 0 4 b = 4 V = 4
4	Pass	%% vectors=[2^0.5 2^0.5 0;-2^0.5 2^0.5 0;0 0 2]; % Rot 45, V=8; assert(V-.001<Parallelepiped_volume(vectors) && Parallelepiped_volume(vectors)<V+.001) a = 0 0 4.0000 b = 8.0000 V = 8.0000 a = 0 0 4.0000 b = 8.0000 V = 8.0000
5	Pass	%% vectors=[2^0.5 2^0.5 0;-2^0.5 2^0.5 0;0 1 1]; % Rot 45, Slant 45, h/2 V=4; assert(V-.001<Parallelepiped_volume(vectors) && Parallelepiped_volume(vectors)<V+.001) a = 0 0 4.0000 b = 4.0000 V = 4.0000 a = 0 0 4.0000 b = 4.0000 V = 4.0000