The image on the right shows a case for holding reading glasses - Leaving Cert DCG - Question B-1 - 2020
Question B-1
The image on the right shows a case for holding reading glasses. The shape is based on an equilateral triangular prism of side 75mm.
Fig. B-1 shows the elevation, p... show full transcript
Worked Solution & Example Answer:The image on the right shows a case for holding reading glasses - Leaving Cert DCG - Question B-1 - 2020
Step 1
Draw the required end view
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Answer
To draw the end view of the case, begin with the base of the triangular prism, which has a side of 75mm. The triangular face will remain in the isometric view since it has equal sides. The height between the base and the top apex must be considered. Mark the outline of the prism, ensuring lines represent the correct edges and the relationships between the faces of the case are maintained.
Step 2
Draw required plan
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Answer
The plan view will show the case from above. Start by outlining the triangular base and include the apex points correctly positioned above the base. Take care to accurately represent the folding lines and connection points of the triangular lids. Ensure the proportions of side lengths and angles of 60° are maintained throughout the drawing.
Step 3
Draw required elevation
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The elevation view will provide a side perspective of the case. Position the triangular shape upright, indicating the two triangular faces. The height dimension must be shown clearly, reflecting the distance from the base to the apex. Include the base outline and note down any hidden edges or joins, ensuring that all relevant details, including the opening flap, are evident.
Step 4
Draw plan as given
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For the sticker rst, begin by drawing an equilateral triangle on the plan. Each side should be 40mm, as specified. Position this triangle accurately across surfaces A, B, and C of the case to ensure proper application.
Step 5
Determine the elevation of points r, s and t
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To determine the elevation of points r, s, and t, project vertical lines from the points of the triangle on the plan to their respective heights. For instance, point r is on surface A, which should reflect its height in elevation, being specified as 55mm. Repeat this process for points s and t, ensuring their respective positions are accurately translated ahead.
Step 6
Determine the elevation of the 4 required 'cross-over' points
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Identify and mark the 'cross-over' points where surfaces A, B, and C intersect from the triangular perspective. This requires visualization of the case as it folds, determining how the structures overlap when viewed from the side. Vertical lines should connect these intersections back to their corresponding folds, achieving clarity in the overall elevation.
Step 7
Completion of elevation of triangular logo (incl. hidden detail)
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Wrap the elevation drawing with a summary which includes the triangular logo. Ensure all sides are labeled distinctly to differentiate surfaces A, B, and C. For hidden details, you must denote actuating lines, such as dotted lines, to clarify hidden parts of the sticker that would not be visible from this view.
Step 8
Draw development of surfaces A, B, and C
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Moving on to surface development, unfold surfaces A, B, and C flat. Each side should be laid out adjacent to one another in a logical sequence accommodating the construction of the case. Ensure that edges correspond correctly to the corresponding elevations previously drawn.
Step 9
Draw development of the remaining rectangular surfaces
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Draw the rectangular surfaces that connect at the bottom of the case. These will be the faces adjoining the triangular ends. Ensure to keep dimensions consistent with their locations on the case.
Step 10
Draw development of pentagonal sides
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For the pentagonal sides, create a flat outline from the triangular case perspective, detailing how these unfold when the case is flat. Clearly label each segment to maintain spatial orientation.
Step 11
Draw development of label
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Lastly, include a label development. The sticker should be shaped and scaled appropriately based on the dimensions mentioned. This will be outlined in the same manner, ensuring it remains visible and attached appropriately on surfaces A, B, and C.
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