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The image on the right shows a lifebuoy and its box - Leaving Cert DCG - Question B-2 - 2021
Question B-2
The image on the right shows a lifebuoy and its box. Fig. B-2 below shows the axonometric axes and an incomplete isometric projection of a similar box. A 3D graphic ... show full transcript
Worked Solution & Example Answer:The image on the right shows a lifebuoy and its box - Leaving Cert DCG - Question B-2 - 2021
Step 1
Draw the given equilateral triangle abc and the axonometric axes X, Y, and Z.
Answer
To draw the equilateral triangle ABC, start by measuring and marking a point for the base (A) on the horizontal axis (X). From point A, measure equal lengths on both sides to create points B and C. Make sure that all sides are of equal length, and connect these points to form the triangle. For the axonometric axes, draw the X-axis horizontally through point A. Then, draw the Y-axis at a 30° angle upwards from the X-axis and the Z-axis at a 45° angle downwards from the X-axis.
Step 2
Draw the elevation and plan positioned as shown.
Answer
For the elevation, place it vertically on the Y-axis. Ensure the height is marked correctly based on the given dimensions. For the plan view, draw it horizontally above the elevation aligned with the X-axis. Capture the width and depth according to the measurements provided in the figure.
Step 3
Draw the axonometric projection of the rectangular outline of the lifebuoy box.
Answer
Begin by creating a rectangular base. The length should align with the X-axis, while the width extends along the Y-axis. Elevate the outline vertically from the corners to depict the height. Connect these new points to complete the rectangle's framework, ensuring the correct angles and dimensions as per the elevation and plan.
Step 4
Complete the axonometric projection of the lifebuoy box including the semi-circular top.
Answer
To finish the axonometric projection, draw the semi-circular top by segmenting the semi-circle into equal divisions based on the given dimensions. Align the arcs to ensure a smooth curve connects at both endpoints of the rectangular outline. Add any necessary lines to represent the structure's features like seams or support details, maintaining perspective with respect to the established axes.