Practice Questions
A line PQ, 80 mm long is inclined at 30" to the H.P. Its end P is 12 mm above the H.P. and 20 mm in front of the V.P. Its front view measures 60 mm. Draw its projections and determine its inclination with the V.P. Also find its traces.
Draw the projections of a regular pentagon of 25 mm sides having one of its sides on the H.P. and inclined at 45° to the V.P. The surface of the plane makes an angle of 30° with the H.P.
An equilateral triangle of 45 mm long sides has an edge on the H.P. and inclined at 60° to the V.P. If the plane is inclined at 45" with the H.P., draw its projections.
A pentagonal prism having edge of the base 25 mm and axis 65 mm long is resting on an edge of its base. Its axis is inclined at 45° to H.P. and the edge of its base on which the solid rests is inclined at 35° to the V.P. Draw its projections.
Diaw an ellipse, one half of it by concentric circle method and other half by oblong method when the major axis is 120 mm and foci are 20 mm away from its ends.
An area of 144 cm² represents an arca of 36 km² in the field. Find the R.F. and construct a diagonal scale to show kilometer, hectometer and decameters and long enough to measure up to 6 km. Show a distance of 5.43 kilometers on it.
Diaw an ellipse, one half of it by concentric circle method and other half by oblong method when the major axis is 120 mm and foci are 20 mm away from its ends.
The top view of a75 mm long line AB measures 65 mm, while the length of its front view is 50 mm. Its one end A is in the HP and 20 mm in front of the VP. Draw the projections of AB and determine its inclination with HP and VP.
A line AB has its end A 15 mm above the HP and 20 mm in front of the VP. End B is 50 mm in front of the VP. The vertical trace is 7 mm above the HP. Draw the projections of the line if the distance between end projectors is 45 mm and find its true length inclination with HP and VP.
A regular hexagonal plate of negligible thickness and of 30 mm side has a corner in the HP and another diagonally opposite comer touching VP. The plate is inclined to the HP at 55 and 35° to the VP. Draw front and top views of the plate held in given position.
A pentagonal pyramid, having a base with a 30 mm side and a 60 mm long axis, rests 6 on an edge of its base on the ground so that the highest point of the base is 20 mm above the ground. Draw its projections, if the vertical plane containing the axis is inclined at 30" to VP.
A right regular square pyramid, edge of the base 35 mm, rests on its base on HP with base equally inclined to VP. A section plane perpendicular to the VP and inclined to the HP at 30°, cuts the pyramid bisecting its axis. Draw the front view, sectional top view, sectional left hand side view and true shape of truncated pyramid.
Draw an archemedian spiral of one convolution for the shortest and the greatest radii as 20 mm and 90 mm respectively. Also draw a tangent and a normal to the curve at a point distant 50 mm from the pole .
Draw an involute of a circle of 40 mm diameter. Also draw a tangent and a normal at any point on the curve.
A pentagonal prism having edge of the base 25 mm and axis 65 mm long is resting on an edge of its base. Its axis is inclined at 45° to H.P. and the edge of its base on which the solid rests is inclined at 35° to the V.P. Draw its projections.
A hexagonal pyramid having edge of base 30 mm and axis 65 mm long is resting on an edge of its base on the H.P, The triangular face containing the resting edge is perpendicular to the H.P. and parallel to the V.P. Draw its projections.
A hexagonal prism having edge of base 25 mm and axis 60 mm long is resting on an edge of its base on the H.P. such that its axis is inclined at 30° the H.P and 45° to the V.P. Draw its projections.
A square pyramid, edge of base 30 mm and axis 55 mm long is resting on one of its slant faces on the H.P. and vertical plane containing the axis is inclined 45° to the V.P. Draw its projections when vertex is away from V.P.
Draw the projections of a cone having base diameter 40 mm and axis 65 mm long has a point on base circle in the V.P. Draw its projections when its axis inclined at 40° to the V.P. and parallel to the H.P.
A square prism having side of the base 30 mm and axis 60 mm long is resting on an edge of its base which makes an angle of 30° to the V.P. and the axis is inclined at 45° to the H.P. Draw its projections.
A hexagonal pyramid having base 30 mm side axis 65 mm long, having its triangular face on the H.P. with its axis parallel to the V.P. Draw its projections.
A pentagonal pyramid, side of base 30 mm and axis 70 mm long has its base parallel to V.P. and one of the base edges in H.P. Draw front view, top view and side view.
A cylinder having 40 mm base diameter and 65 mm height is resting on its base on the H.P. It is cut by a section piune perpendicular to the V.P. and inclined at 45° to the H.P. in such a way that it bisects the axis. Draw its front view, sectional top view, sectional side view and true shape of the section.
A cone base diameter 50 mm and axis 70 mm long is resting on its base on the H.P. It is cut by a section plane perpendicular to the V.P. and inclined at 45° to the H.P. and cutting the axis at a point 35 mm above the base. Draw its front view, sectional top view and true shape of the section.
A cylinder of 60 mm diameter is resting on its base on the H.P. It is cut by an auxiliary vertical plane (AVP) inclined at 30° to the V.P. such that the true shape of the section is a rectangle of 40 mm x 75 mm sides. Draw sectional front view, top view and true shape of the section.
A cone having 50 mm base diameter and 75 mm long is resting on its base on the H.P. An auxiliary inclined plane (A.I.P) cuts the cone in such a way that true shape of the section is an isosceles triangle of 40 mm base. Draw front view, sectional top view and true shape of the section.
A cube having 40 mm long edges is resting on its base on the H.P. with its vertica' faces equally inclined to V.P. It is cut by section plane, perpendicular to the V.P. so that the true shape of section is a regule hexagonal. Determine the inclination of the cutting plane with the H.P. and draw the sectional top view and true shape of the section.
A pentagonal prism having edge of base 25 mm and axis 65 mm long is resting on un edge of base on the H.P. with its axis parallel to V.P. and inclined at 60° to the H.P. A section plane having its H.T. perpendicular to xy and the V.T. inclined at 60° to the xy line. The V.T. passes through the highest corner cuts the prism. Draw the front view sectional top view and true shape of the section.
A circle of 40 mm diameter rolls on a straight line without slipping. In the initial position a diameter AB of the circle is parallel to the line on which the circle rolls.
A line AB has its end A 15 mm above the HP and 20 mm in front of the VP. End B is 50 mm in front of the VP. The vertical trace is 7 mm above the HP. Draw the , projections of the line if the distance between end projectors is 45 mm and find its true length inclination with HP and VP.
A regular hexagonal plate of negligible thickness and of 30 mm side has a corner in the HP and another diagonally opposite corner touching VP. The plate is inclined to the HP at 55 and 35° to the VP. Draw front and top views of the plate held in given position.
The top view of a75 mm long line AB measures 65 mm, while the length of its front view is 50 mm. Its one end A is in the HP and 20 mm in front of the VP. Draw the projections of AB and determine its inclination with HP and VP.
Draw three views of a hexagonal-headed bolt, 24 mm diameter and 100 mm lang, with a hexagonal nut and washer (Assume rough rule dimensions).
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