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The image below shows a sign outside the offices of a company called 'Key Technologies' - Leaving Cert DCG - Question A-3 - 2013

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Question A-3

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The image below shows a sign outside the offices of a company called 'Key Technologies'. In the sign, a truncated copper pyramid is intersected by a triangular steel... show full transcript

Worked Solution & Example Answer:The image below shows a sign outside the offices of a company called 'Key Technologies' - Leaving Cert DCG - Question A-3 - 2013

Step 1

Complete the plan, showing all lines of interpretation.

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Answer

  1. Location of penetration points on RHS in plan:

    • Identify and mark the points where the triangular prism intersects the copper pyramid on the right-hand side in the plan.
  2. Joining of points on RHS in plan, incl. hidden detail:

    • Connect the identified points with appropriate line types to represent the edges of the solids, including hidden lines to indicate any obscured edges.
  3. Location of penetration points on LHS and top in plan:

    • Mark the intersection points on the left-hand side and the top view, maintaining consistency with the right-hand side.
  4. Draw required section in elevation:

    • Create a section view that accurately reflects how the solids intersect in the elevation view.
  5. Draw corresponding section in plan to locate "crossover points" on edge 'de':

    • Project the section through 'de' in the elevation to find the corresponding crossover points in the plan view.
  6. Joining of points on LHS and top in plan, incl. hidden detail:

    • Similar to the RHS, join the identified points on the left-hand side and top view with appropriate line conventions, including hidden lines.

Step 2

Determine the true shape of the triangle abc.

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Answer

  1. Rabatment of triangle in elevation or line in plan (for correct use of X, Y):

    • Construct the rabatment using lines from points A, B, and C to transfer their true shape onto a suitable plane, ensuring to reference the original positions accurately.
  2. Correct use of projection lines:

    • Use projection lines effectively to ensure all dimensions and relative positions are accurate when determining the true shape.
  3. Determination of required true shape:

    • Analyze the configuration of points a, b, and c and present the true shape of the triangle clearly with dimensions marked, showing the relation between the projected points.

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