## Problem 7.4 Section of Solids – A hexagonal prism is resting on H.P. on its base with two edges of base parallel to V.P. It is cut by an A.I.P. which is perpendicular to V.P. and inclined to H.P. by 45^{0} and passing through a point 40 mm above the base & on axis. Draw elevation, sectional plan, sectional side view and true shape of section. Take side of base 30 mm and height 60 mm.

**Procedure: **

**Procedure:**

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

* Step-2* Draw a hexagon of side of base 30 mm below the x-y line at some suitable distance from it, such that two sides of the hexagon should be parallel with x-y line. Give notations on it.

* Step-3* From the center of the hexagon, draw a vertical center line of length 60 mm from the x-y line as shown into the figure. And from all notations of the hexagon draw vertical projectors of the length equal to its height i.e., 60 mm. It is a rectangular shape & front view. And Give the notations on it.

* Step-4* Draw a cutting plane line passing at the distance 40 mm from the base & on the center line of the hexagon in the front view, such that its inclination with the x-y line should be equal to 45°, as shown into the figure.

* Step-5* Give the cutting points name at the intersection of the previously drawn cutting plane line with the vertical projectors of the circle in front view, i.e., p’, q’, r’ etc. as shown into the figure.

* Step-6* Now from these cutting points on the cutting plane line, draw vertical downward projectors in the top view, such that these projectors will intersect at respective points in the top view, as shown in the figure. Then draw hatching lines in the region bounded by these projectors in the top view. It is the Sectional Top View.

* Step-7* Now draw a line x’’-y’’, parallel with the cutting plane line in the front view, which should be outside of the boundary of the front view as shown into the figure. From the cutting points, (i.e., p’, q’, r’ etc., in the front view) draw projectors which should be perpendicular to the cutting plane line and should be of some suitable length as shown into the figure.

* Step-8* Now measure the distance of the cutting points from the x-y line, into the Sectional Top View and transfer the same at the respective projectors drawn from the cutting points in the front view, on the previously drawn x’’-y’’ line, which is parallel to the cutting plane line in the front view.

* Step-9* Connects all the points in sequence with medium dark straight lines as shown in the figure, and draw hatching lines in it. It is the True Shape of the section.

* Step-10* Now draw an x’-y’ line perpendicular to the x-y line and on the right of the front view. Then draw horizontal projectors from the all notations and cutting points on the cutting plane line in right side of the x’-y’ line of some sufficient length as shown into the figure. And transfer the all notations form the sectional top view in the right side of the line x’-y’, such that these all the points will intersect with each other at respective points.

* Step-11* Now connect all the points in sequence with medium dark straight lines as shown in the figure, and draw hatching lines in it. It is the Sectional Left Hand Side View.

* Step-12* Give the dimensions by any one method of dimensions and give the notations as shown into the figure.