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The 3D graphic below shows a design of a display box for fruit - Leaving Cert DCG - Question A-4 - 2010
Question A-4
The 3D graphic below shows a design of a display box for fruit. The box consists of a regular hexagonal prism which has been cut as shown. The drawing on the right ... show full transcript
Worked Solution & Example Answer:The 3D graphic below shows a design of a display box for fruit - Leaving Cert DCG - Question A-4 - 2010
Step 1
Draw the elevation of the prism when cut by the oblique plane VTH.
Answer
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X1, Y1 perpendicularly to H.T.
- Begin by establishing a horizontal line representing the Horizontal Plane (H.T.).
- From point X, draw a perpendicular line upward to represent the height of the hexagonal prism.
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Edge view of the plane
- Project the edge view of the plane VTH onto the elevation by considering the angle at which it intersects the H.T.
- The inclination is given as 44 degrees.
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Projections from the plan of the prism
- Project the hexagonal base of the prism onto the elevation, maintaining the proportions of the hexagon.
- Mark the positions of the corners of the hexagon in the elevation.
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Auxiliary view of prism
- If necessary, include an auxiliary view to clarify how the angle of the cut affects the elevation.
- Highlight any significant points of intersection.
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Transfer of heights to elevation
- Measure the height from the base to the top points of the hexagon and transfer these heights to the elevation properly.
- Ensure to accurately reflect the changes due to the angled cut.
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Completion of elevation
- Connect all drawn lines and finalize the elevation with any required labels and dimensions.
Step 2
Determine, and indicate in degrees, the inclination of the cut surface to the horizontal plane.
Answer
To determine the inclination of the plane VTH to the Horizontal Plane (H.P.), follow these steps:
- Measure the angle between the cut surface (plane VTH) and the Horizontal Plane, which is given as 44 degrees.
- Indicate the angle clearly in the diagram, noting that the tolerance for the inclination is specified as 41°-47°.
- Ensure to denote this angle prominently in the final illustration.