Development of Surfaces

Pyramids

5.1 A hexagonal pyramid of base edge 40 mm and axis height 90 mm is resting on its base with axis parallel to VP and one edge of the base perpendicular to VP. A square hole of 40 mm side is cut through the pyramid with axis coinciding the axis of pyramid, such that two vertical faces of the hole are at 20° to VP. Draw lateral surface development of the cut pyramid. 5.2 A pentagonal pyramid resting on its base with side of base 40 mm and height 75 mm, having one of the sides of the base parallel to the V.P. and away from the V.P. A square hole of side 24 mm is drilled through it such that its axis is parallel to H.P. and perpendicular to V.P. and intersects the axis of the pyramid 30 mm from the base. The faces of the hole are equally inclined to the H.P. Draw the lateral surface development of the pyramid with the hole. 5.3 A square pyramid ( side of base 50 mm and axis 60 mm ) is kept on the H.P. on its base with two of its sides of base parallel to V.P. An axial square hole of side 25 mm is cut through the pyramid. so that the vertical face of the hole are equally inclined to V.P. Draw projections of the solid and show the development of the lateral surface of the solid. 5.4 A square pyramid, side of base 50 mm and axis 70 mm long is resting on the ground on its base with its two sides of the base inclined at 30° to the V.P. An axial square hole of sides 3() mm is cut through the pyramid so that the vertical faces of the hole are equally inclined to the V.P. Draw the projection ( Front view and top view) of the solid, show the development of the lateral surface of the solid.

Cones

5.5 A cone with diameter of base 80 mm, true length of generator 80 mm rests with its base on H.P. An equilateral triangular through slot having its axis perpendicular to V.P. and parallel to H.P. is cut through the cone such that the base of the slot parallel to the base of cone and 15 mm above it, and one of the sides of the slot is parallel to one of the end generator of the cone at a distance 15 mm and the other side coincides with the other end generator of the cone. Draw F.V., T.V. and development of lateral surface. 5.6 A cone of diameter of base 80 mm and height 80 mm stands vertically on its base in H.P. A semicircular hole of diameter 50 mm is cut through the cone, the axis of the hole is horizontal and intersects the axis of the cone and is 30 mm above the base of the cone. The flat face of the hole contains the axis of the cone sand is perpendicular to V.P. Draw the development of the cone with hole. 5.7 A vertical semi-cone of diameter 75mm and axis 75mm long has its semicircular base on H.P. with straight line edge of semicircular base being parallel to V.P. It has a horizontal square hole of side 30mm. the axis of square hole is parallel to the H.P. and perpendicular to the V.P. and intersects the axis of vertical semi-cone at a point 25mm above the base of semi-cone. All the sides of square hole are equally inclined to H.P. Develop the lateral surface of semi-cone.

Cylinder

5.8 A cylinder of base diameter 60 mm and height 100 mm long is lying on the HP. with its axis parallel to V.P. and perpendicular to H.P. It has a square hole cut through the curved surface of the cylinder such that the axis of the square hole is parallel to H.P. and perpendicular to V.P. The axis of the square hole is 10mm away from the axis of the cylinder and towards the right of the observer and 50 mm above the H.P. The base edges of the square hole are equal to 40 mm. A flat face of the square hole which is nearer to H.P. makes an angle of 30° to it. Using 1:1 scale develop the lateral surface of the cylinder showing square hole on it, such that the square hole appears on the centre of the development of the cylinder.

Prism

5.9 A hexagonal prism of 30 mm side of base, 60 mm high is resting on its base vertically on the H.P. with two of its rectangular faces parallel to V.P. A horizontal circular hole of 40 mm diameter is made through it such that axis of hole is perpendicular to V.P. and bisects the axis of the prism. Draw the development of the prism showing the shape of the hole on it.

Sketch Book: 5.1 , 5.5 , 5.8 , 5.9 Sheets No 4.: 5.4 , 5.6 , 5.8

Thank You for your Attention!