"3d Grid" Inside the Box in Graphics3D

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Please Consider :

cAxes = {{{0, 0, 0}, {0, 0, 1}}, {{0, 0, 0}, {0, 1, 0}}, {{0, 0,0}, {1, 0, 0}}};

Graphics3D[{Line /@ cAxes}, Boxed -> False]

enter image description here

Is it possible to have Grids inside the Box ? I guess "3D Grid"

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Mr.Wizard On BEST ANSWER

Here is a reworked version of what I believe Verbeia was attempting:

cAxes = {{{0, 0, 0}, {0, 0, 1}}, {{0, 0, 0}, {0, 1, 0}}, {{0, 0, 
     0}, {1, 0, 0}}};

a = Graphics3D[{Line /@ cAxes}, Boxed -> False];

b = Graphics3D[{
      GrayLevel[0.5],
      Table[Line /@ {{{x, y, 0}, {x, y, 1}},
                     {{x, 0, y}, {x, 1, y}},
                     {{0, x, y}, {1, x, y}}},
        {x, 0, 1, 0.25},
        {y, 0, 1, 0.25}
      ]
    }];

Show[a, b]

enter image description here