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A right hexagonal pyramid side of base 20 mm and height of axis 40 mm is resting on one of its triangular face on the ground.

### A right hexagonal pyramid side of base 20 mm and height of axis 40 mm is resting on one of its triangular face on the ground. And the edge of base contained by that triangular face makes an angle $45^0$ to the VP. Draw its projections considering the apex nearer to the VP.

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Given Data

Edge of base = 20 mm

Axis length = 40 mm

Resting on one of its triangular face on (Ground) HP

Edge of base contained by resting triangular face is inclined 45° with VP

Apex nearer to VP.

Stage 1

1. Draw XY line.

2. Pyramid is resting on HP, so hexagon will be seen in TV and triangle in FV.

3. Draw TV as a hexagon with two sides perpendicular to VP (XY line).

4. Name the hexagon 1 2 3 4 5 6.

5. Take the projections of all corner points into FV.

6. Complete the FV taking axis length 40 mm.

7. Name the FV as 1’ 2’ 3’ 4’ 5’ 6’ on base and apex point as O’.

Stage 2

1. As one of the triangular face is lying on ground (HP), consider triangular face O’4’5’ of pyramid is lying on HP.

2. So first mark point 4’5’ at some convenient distance on XY line.

3. Using compass mark point O’ and 1’2’ and this points with apex O’ and complete the FV in 2nd stage.

4. Take the projections of all 7 points 1’2’3’4’5’6’ and O’ in TV.

5. Take the horizontal projections of hexagonal pyramids base points and apex points towards right side.

6. Mark the intersection points 1, 2, 3..12 and apex O.

7. Slant edge O4 and O5 is not visible in TV, so draw these two lines as dashed lines.

8. Draw remaining lines as continuous solid lines since they are visible in TV.

Stage 3

1. Now in third stage the edge of base (4 5) of triangular face O 4 5 is inclined to VP at an angle of 45°.

2. Draw a line inclined at angle of 45° to XY line.

3. Mark point 4 and 5 on that line at some convenient distance as per shown in diagram.

4. Mark point O using compass, also mark all other points using compass and complete the TV in inclined position

5. Take the projection all points along with apex from TV of 2nd stage into FV.

6. Take the projection all points along with apex from FV of 2nd stage towards right side

7. Mark intersection points 1 2 3 4 5 6 and O.

8. Join base edges and slant edges.

9. As slant edges O’1’ and O’6’ are not visible in FV, it will be hidden lines. Draw this as a dashed lines.