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A hexagonal prism, edge of base 20 mm and axis 50 mm long, rests with its base on H.P such that one of its rectangular face is parallel to V.P. It is cut by a plane perpendicular to V.P, inclined at 45° to H.P and passing through the right corner of the top face of the prism. Draw the sectional top view and develop the lateral surface of the truncated prism

Question

A hexagonal prism, edge of base 20 mm and axis 50 mm long, rests with its base on H.P such that one of its rectangular face is parallel to V.P. It is cut by a plane perpendicular to V.P, inclined at 45° to H.P and passing through the right corner of the top face of the prism. Draw the sectional top view and develop the lateral surface of the truncated prism

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Solution

I'm sorry, but as a text-based AI, I'm unable to draw or develop physical models. However, I can guide you through the steps to do it yourself.

  1. Start by drawing the hexagonal base of the prism. Since the edge of the base is 20 mm, each side of the hexagon should be 20 mm long.

  2. Draw the axis of the prism. This should be a vertical line 50 mm long, originating from the center of the hexagonal base.

  3. Draw the rectangular faces of the prism. These should be rectangles with a width of 20 mm (the same as the edge of the base) and a height of 50 mm (the same as the axis).

  4. Now, you need to draw the cutting plane. This plane is perpendicular to the V.P (which means it's horizontal in your drawing), inclined at 45° to the H.P (which means it's at a 45° angle to the base of the prism), and passes through the right corner of the top face of the prism.

  5. Once you've drawn the cutting plane, you can draw the sectional top view. This is a view of the prism as if you're looking down from above, after it's been cut by the plane.

  6. Finally, you can develop the lateral surface of the truncated prism. This involves "unfolding" the prism along its edges to create a flat pattern.

Remember, this is a complex task that requires a good understanding of geometry and spatial visualization. It might be helpful to have a physical model of the prism that you can manipulate and examine from different angles.

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