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The graphic on the right shows a candle holder and a candle - Leaving Cert DCG - Question B-2 - 2019

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Question B-2

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The graphic on the right shows a candle holder and a candle. Fig. B-2 below shows an incomplete isometric projection of a similar candle holder. (a) Draw the given... show full transcript

Worked Solution & Example Answer:The graphic on the right shows a candle holder and a candle - Leaving Cert DCG - Question B-2 - 2019

Step 1

Draw the given equilateral triangle abc and the axonometric axes X, Y and Z.

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To draw the equilateral triangle abc, start by establishing a reference point for vertex a. Using a compass, set a radius equal to the length of the sides of the triangle to mark points b and c. Connect these points to form the triangle.

For the axonometric axes, draw three lines at 120 degree angles from each other. Label one axis as X, the second as Y, and the third as Z, ensuring they are clearly represented to align with the triangle.

Step 2

Draw the elevation and plan, positioned as shown.

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Begin by laying out the elevation view vertically on the YZ plane. The elevation should reflect the dimensions and height of the candle holder's body. Next, position the plan view (top view) on the XY plane directly beneath the elevation. Ensure both views are in the correct position relative to each other, aligning their respective projection lines where necessary.

Step 3

Draw the axonometric projection of the body of the candle holder.

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Using the previously established axes, create the base of the candle holder first, following the width and dimensions given in the design. Extend the vertical lines upwards to represent the height of the candle holder's body and ensure that angled surfaces follow the respective projections. Finally, connect these lines to form the complete three-dimensional shape of the holder.

Step 4

Draw the axonometric projection of the circular hole on the top surface of the candle holder.

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To represent the circular hole, first find the center point on the top surface of the candle holder in the axonometric view. From this center, draw the circular projection, ensuring it retains the correct proportions. Use the appropriate radius as indicated in the question, and add any necessary details to define the circular hole, ensuring accuracy in its representation.

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