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The 3D graphic on the right shows a recycling bin made from stainless steel - Leaving Cert DCG - Question C-3 - 2009
Question C-3
The 3D graphic on the right shows a recycling bin made from stainless steel. The plan and elevation of the bin are shown in Fig. C-3 below. (a) Draw the given plan ... show full transcript
Worked Solution & Example Answer:The 3D graphic on the right shows a recycling bin made from stainless steel - Leaving Cert DCG - Question C-3 - 2009
Step 1
(a) Draw the given plan and elevation.
Answer
To draw the plan and elevation of the recycling bin, follow these steps:
- Begin with the rectangular base of dimensions 600 mm x 1000 mm.
- From the center of the top side of the rectangle, construct a semi-circle with a diameter of 400 mm, indicating the opening for the bin's lid.
- Draw the vertical edges, projecting upward to represent the height of 300 mm.
- Finally, complete the elevation by adding the circular profile of the lid above the rectangular base.
Step 2
(b) Draw a one-piece surface development of the recycling bin.
Answer
To create the surface development:
- Start with the rectangular section representing the side of the bin. This should have a height of 300 mm and a width equal to the circumference of the circular section ( which can be calculated as: C = rac{d imes ext{Pi}}{1} = 400 imes rac{22}{7} ext{ mm} resulting in ).
- Add a semi-circular flap at the top for the lid that matches the diameter of 400 mm.
- Ensure that all dimensions are appropriately labeled before finalizing the development.
Step 3
(c) Draw and indicate, in millimetres, the minimum size of a rectangular sheet which would contain the development.
Answer
To determine the minimum size of the rectangular sheet:
- The width of the sheet should accommodate the full width of the side development (1256.64 mm).
- The length should be the sum of the height (300 mm) and the additional semi-circular flap's height (200 mm).
Thus, the dimensions of the minimum rectangular sheet required are:
- Width: 1256.64 mm
- Height: 500 mm
It's important that the sheet is larger than these dimensions to ensure proper cutting and folding.