# Problem 6.5 Projection of Solids

Problem 6.5  Projection of Solids – Draw the projections of a cube of side 50 mm which rests on a point of its corner on H.P. and one of its solid diagonal is parallel to H.P. and perpendicular to V.P.

## Procedure:

Step-1 Draw a horizontal x-y line of some suitable length.

Step-2 Draw a cube of side of length 50 mm (i.e., a square) below the x-y line at some suitable distance such that all side of the cube should be equally inclined with the x-y line, as shown into the figure. And give the notations. It is the top view of the 1st stage.

Step-3 From the corners of the cube in the top view i.e., point s “ a, b, c, d”, draw  perpendicular vertical projectors  up to 50 mm above to the x-y line. And draw a rectangular figure as shown in the figure and give the notations. It is the front view of the 1st stage.

Step-4 Now copy the front view of the 1st stage as the front view of the 2nd stage with the same dimensions, such that the diagonal 1’-c’, should be parallel to the x-y line and the corner a’ should be on the x-y line, and the remaining drawing should be drawn accordingly as shown into the figure. It is the front view of the 2nd stage.

Step-5 From the notations of the front view of the 2nd stage draw vertical projectors into down ward direction and from the top view of the 1st stage draw projectors into horizontal direction as shown into the figure, which will intersect with each other at respective points.

Step-6 From these respective points of intersections, draw straight lines between all the points in sequence as shown into the figure. And give the notations. It is the top view of the 2nd stage.

Step-7 Copy the top view of the 2nd stage as the top view of the 3rd stage, such that the line 1-c should be perpendicular to the x-y line, as show into the figure with the same dimensions. And give all the notations on it. It is the top view of the 3rd stage.

Step-8 From the front view of the 2nd stage, draw horizontal projectors, and from the top view of the 3rd stage draw vertical projectors in upward direction, which will intersect with the previously drawn projectors at respective points.

Step-9 From these respective points of intersections, draw straight lines between all the points in sequence as shown into the figure,  as shown into the figure. But the lines from the points a’,1’&  c’ are dotted  lines because of hidden. It is the front view of the 3rd stage.

Step-10 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.

## Author: Vasim Machhar

An Engineering Drawing Geek. Working at Noble Group of Institutions, Junagadh as Head of Mechanical Engineering Department.