Opengl skybox

I am creating a skybox for my game. I have drawn a simple cube that will surround the game level. The question I have though is how to I draw the box so that it will keep its distance from the camera. This is so the player will not be able to walk through the background.

I have just drawn a very simple cube. Will this be sufficient.


void skybox(void)
{

  glNormal3f( 0.0f, 0.0f, 0.5f);                              
             glVertex3f(-300.0f, -300.0f,  300.0f);
             glVertex3f( 300.0f, -300.0f,  300.0f);
         glVertex3f( 300.0f,  300.0f,  300.0f);
             glVertex3f(-300.0f,  300.0f,  300.0f);
            // Back Face
            glNormal3f( 0.0f, 0.0f,-0.5f);                              
          glVertex3f(-300.0f, -300.0f, -300.0f);
          glVertex3f(-300.0f,  300.0f, -300.0f);
          glVertex3f( 300.0f,  300.0f, -300.0f);
          glVertex3f( 300.0f, -300.0f, -300.0f);
            // Top Face
            glNormal3f( 0.0f, 0.5f, 0.0f);                              
          glVertex3f(-300.0f,  300.0f, -300.0f);
          glVertex3f(-300.0f,  300.0f,  300.0f);
          glVertex3f( 300.0f,  300.0f,  300.0f);
          glVertex3f( 300.0f,  300.0f, -300.0f);
            // Bottom Face
            glNormal3f( 0.0f,-0.5f, 0.0f);                              
          glVertex3f(-300.0f, -300.0f, -300.0f);
          glVertex3f( 300.0f, -300.0f, -300.0f);
          glVertex3f( 300.0f, -300.0f,  300.0f);
          glVertex3f(-300.0f, -300.0f,  300.0f);
            // Right Face
            glNormal3f( 0.5f, 0.0f, 0.0f);                              
          glVertex3f( 300.0f, -300.0f, -300.0f);
          glVertex3f( 300.0f,  300.0f, -300.0f);
          glVertex3f( 300.0f,  300.0f,  300.0f);
          glVertex3f( 300.0f, -300.0f,  300.0f);
            // Left Face
            glNormal3f(-0.5f, 0.0f, 0.0f);                              
          glVertex3f(-300.0f, -300.0f, -300.0f);
          glVertex3f(-300.0f, -300.0f,  300.0f);
          glVertex3f(-300.0f,  300.0f,  300.0f);
          glVertex3f(-300.0f,  300.0f, -300.0f);


}