As shown in Figure 15, pyramid may be placed with their axis perpendicular to VP in three different positions. 

Figure 15. Projections of a pentagonal pyramid resting on HP and axis perpendicular to VP with different positions.

Axis of the solid inclined to HP and parallel to VP

When a solid is placed on HP with its axis inclined to HP, the elemental portion of the solid that lies on HP depends upon the type of the solid.
When a prism is placed on HP with its axis inclined to it, then it will lie either on one of its base edges or on one of its corners on HP.               
When a pyramid is placed on HP with its axis inclined to HP, then we will have one of its base edges on HP or one of its base corners on HP  or one of its slant edges on HP or  one of its triangular faces on HP or an apex on HP.