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The image across shows the Halle Berry "Reveal" perfume bottle - Leaving Cert DCG - Question B-1 - 2014
Question B-1
The image across shows the Halle Berry "Reveal" perfume bottle. The cap of the bottle includes intersecting planar faces. Fig. B-1 below shows the plan and elevatio... show full transcript
Worked Solution & Example Answer:The image across shows the Halle Berry "Reveal" perfume bottle - Leaving Cert DCG - Question B-1 - 2014
Step 1
Draw the given elevation and plan of the two intersecting planes.
Answer
To sketch the elevation and plan of the intersecting planes, we start by plotting the points A, B, C, D, E, F, and G using the provided coordinates:
- A (130, 90)
- B (50, 90)
- C (0, 60)
- D (50, 50)
- E (220, 50)
- F (220, 20)
- G (190, 25)
Next, draw the plan view in the X-Y coordinate system. Ensure the edges between points are illustrated clearly, showcasing the intersection between planes ABCD and ABFEG in the elevation view.
Step 2
Determine the dihedral angle between the planes.
Answer
To find the dihedral angle between the planes, we identify the line of intersection. The angle can be calculated using the projections of the planes in the auxiliary view:
- Draw the X, Y plane with the line of intersection.
- Extend the planes to their respective auxiliary views.
- Use the angle measurement to determine the dihedral angle through proper geometric or trigonometric methods.
Step 3
Determine the true shape of surface ABCD.
Answer
For the true shape of the surface ABCD, begin by establishing its edge view:
- Identify and plot the points A, B, C, and D in their respective true lengths.
- Apply the method of true lengths and utilize the edge view to unfold the surface.
- Create the shape by connecting points A to D ensuring all dimensions adhere to the calculated lengths.
Step 4
Determine the true shape of Hexagon S.
Answer
For the hexagon S on the bottle cap:
- Start by establishing the length of the side EF, which is given and form part of the outline.
- Sketch out the hexagon around EF while ensuring all sides remain equal.
- Represent the hexagon in a separate diagram, maintaining full size to reflect accurate dimensions.