Problem-2.  
A cube of 30 mm side rests with one of its edges on HP such that  one of the square faces containing that edge is inclined at 30⁰ to HP and the edge on which it rests being inclined to 60⁰ to VP.  Draw its projections.

Solution. 
The procedure of obtaining the projections is shown in figure 7.  First the TV and FV of the cube is drawn with the cube in the simple position. The edge bc is drawn perpendicular to the XY line. In step2, the cube is tilted such that the base of the cube is inclined at 30⁰ to HP. The front view is reproduced with b1’ c1’a1’d1’ inclined at 30⁰ to XY. The top view of the cube in step-2 is obtained by drawing projectors mentioned in problem 1.  In step-3, the top view in step-2 is rotated such that line c1 b1 is inclined at 60⁰ to XY line.  The front view in step-2 is obtained by drawing projectors  from the top view in step-3 and Front view in Step-2.

 

Figure 2. The projections of the cube  of problem 2.