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The 3-D graphic on the right shows lollipops which are to be distributed as promotional gifts at a trade show - Leaving Cert DCG - Question B-3 - 2014

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Question B-3

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The 3-D graphic on the right shows lollipops which are to be distributed as promotional gifts at a trade show. Each lollipop is packaged in a cube as shown. The cube... show full transcript

Worked Solution & Example Answer:The 3-D graphic on the right shows lollipops which are to be distributed as promotional gifts at a trade show - Leaving Cert DCG - Question B-3 - 2014

Step 1

Draw the given plan and elevation of the lollipop.

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Answer

  1. Begin by sketching the top view of the lollipop, which consists of a circle representing the sphere's top surface. The center of the circle should correspond to the stick's location, which protrudes vertically from the cube.

  2. Next, draw the elevation view. This will include the vertical cylinder representing the stick and the circular cross-section of the sphere above it. Ensure that the sphere's diameter is accurately represented in relation to the stick’s diameter.

Step 2

Draw the given auxiliary elevation.

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Answer

  1. To create the auxiliary elevation, first, draw line X-Y, parallel to the stick.

  2. From the end of line X-Y, project perpendicularly to illustrate the positioning of the stick at the indicated angle of 45 degrees.

  3. Complete the auxiliary elevation of the lollipop by including the sphere's diameter and ensuring a correct representation of the contours.

Step 3

Complete the plan and elevation to include the cube-shaped packaging.

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Answer

  1. Start by projecting lines from the auxiliary elevation to the plan, ensuring the cube's dimensions are marked correctly.

  2. Establish the correct widths in the plan to accommodate the hidden details of the cube-shaped packaging.

  3. Utilize projection lines from the elevation to accurately depict the packaging from both the top and side views.

  4. Transfer heights from the plan to the elevation to finalize the dimensions and position of the cube surrounding the lollipop.

  5. Ensure completion of the correct elevation to reflect the hidden detail of the stick in plan and elevation, verifying proper scaling and proportions.

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