 Hello everyone, this is Shila Ratna Banswade from Walchand Institute of Technology, Solapur. Today we are going to see the topic that is sections of solids and in that particularly we will be looking into pyramid. Moving further, students will be able to draw the sectional view of pyramid. These are the learning outcomes for the current video. Now I suggest you to pause the video at this moment and recall the structure of pyramid. Any kind of pyramid whether it be a square pyramid or a hexagonal pyramid and so on. What are the elements of pyramids? Let us move further. Let us consider an example. Here as we all know pyramid has a base and an apex at the top. The base can be of any shape, either it will be a square, a triangular, a hexagonal, a pentagonal and so on. It has fixed edges, inclined edges, vertical edges. It has sides for the base. Moving further with the example, we have a square pyramid with its base edge 30mm and axis 55mm long. Has its base on HP and all the edges of base equally inclined to VP. It is cut by a section plane perpendicular to VP, inclined at 45 degrees to HP and bisecting the axis. We have to draw its sectional top view, sectional side view and true shape of the section. Let us analyze the question. What has been given as the object is we have a square pyramid whose base edge is 30mm and axis is 55mm long. It is resting with its base on HP and in such a way that its all edges are equally inclined to VP. Then further it is cut by a section plane which is perpendicular to VP, inclined at 45 degrees to HP and is bisecting the axis. Now here bisecting the axis means you have to draw the cutting plane exactly at the midpoint of the axis. Let us start. Object we have then we will start with the explanation. This is a square pyramid which is kept in the given condition that is its sides are equally inclined to VP. Sides are equally inclined to VP. This is the cutting plane that is inclined to HP at 45 degrees and perpendicular to VP. This is the condition how it looks, the exact cutting plane and this is the condition how your solid is kept. This is the top view of the solid and this is the front view of the solid. Now let us move for the actual drawing. This is your XY line, upper side is vertical plane and below side is horizontal plane. We have the top view. Sides are equally inclined to VP, slides are equally inclined to VP. You can see on the screen the first condition that was given for resting position of the solid that is the sides are equally inclined to VP. So here each side is inclined to the vertical plane at an angle of 45 degrees. We will project for the top view. This is the top view and front view of the given solid. This is the cutting plane. Cutting plane is perpendicular to VP hence it is seen as a line in front view. It is inclined at 45 degrees to HP so this is the inclination anything with respect to HP is seen in front view. It bisects the axis. It is passing through the midpoint of the axis that is the distance displayed on the screen. Now wherever the cutting plane cuts the vertical edges we mark those points as A here only one edge is being cut, here we have two edges. One path is coming from this and one coming from this. Then again at this point we have only one edge. So A, B, C and D or A dash, B dash and C dash are the edges or are the points where the cutting plane cuts the solid. Now we will project each and every point in top view like the point A lies on this edge. So it is projected on that the center two points and this point and will mark each and every point. Now here the points B dash and C dash lie on this generator, the center generator. We cannot directly plot those points exactly on this top view hence we use the rotation method. In rotation method we project this point on one of the end generators and then project it vertically downwards like this and then we rotate these points back to its original generator like where from it was taken. Now B dash and C dash were taken from the central generator they are projected on the end generator then in top view and then they are rotated back to the original generators in this way. This is the construction part to get the points B dash and C dash. Now we will join the cut portion. So this is the sectional view of your solid. This is the sectional view of your solid where the cutting plane cuts the solid at points A dash B dash C dash and D dash when the cutting plane is kept equally inclined to the vertical plane. Now we will move to the side view we will project all the points we have drawn the construction of 45 degrees we will project each and every point like point one from top view point one from front view and similarly 234 all the points will be projected these are the points this is the outer body of the pyramid and these are the cut portion of the solid where you will get the sectional view. Now here as point A lies on this central generator that is passing from one. So inside view it has been marked on it A similarly B and C will now come on the end generators as we have revolved the view inside view and point D on the middle generators. So the points which were on end generators in the front view are now at the middle generator in side view. So this is the sectional view of solid let us dark the remaining portion of the solid view you have to dark what is remaining this part has been removed this part has been removed. So the remaining portion of your solid is this you have to dark the remaining portion of the solid to indicate that that is the complete object that has been retained all views we have darkened the edges. Now we will move to the true shape of the object we have taken a plane parallel to the cutting plane at any distance we have projected all the points and take the distance from this side side view and plot the points on the respective generators. So here you can see front view true shape sectional top view and sectional side view thank you.