The 3D graphic on the right shows a structure in the form of a rectangular prism - Leaving Cert DCG - Question B-2 - 2014
Question B-2
The 3D graphic on the right shows a structure in the form of a rectangular prism. A tunnel has been cut through the structure to accommodate a motorway as shown.
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Worked Solution & Example Answer:The 3D graphic on the right shows a structure in the form of a rectangular prism - Leaving Cert DCG - Question B-2 - 2014
Step 1
Draw the plan of the prism as given
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Answer
To start, draw a rectangle to represent the base of the rectangular prism. The dimensions from the figure are 100mm in length and 60mm in width.
Next, for the tunnel, draw a trapezoid at the top of the prism. This trapezoid will have a width of 20mm at the top and 44mm at the bottom, with a height based on the dimensions provided, ensuring the points align accurately with the elevations.
Step 2
Draw the plan of the tunnel as given
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Incorporate the tunnel plan with two parallel lines representing the motorway. Ensure these lines intersect the trapezoid drawn previously to show the cut through the structure.
Step 3
Draw the outline elevation of the prism as given
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From the front view, depict the outline of the prism, which will be 75mm tall on the left side. Include the top edges and vertical lines to connect the base with the top corners accurately.
Step 4
Complete the elevation as given
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For the complete elevation, add the temporary effects of the tunnel on the structure. This would mean indicating the height reduction where the tunnel passes through. The trapezoidal shape should match with the previously drawn plan.
Step 5
Projection from LHS of plan
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Project vertical lines from the left-hand side of the plan to the elevation, ensuring accuracy in alignment throughout.
Step 6
Locate points on LHS in elevation
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Identify and mark the projected points on the left-hand side elevation, connecting them appropriately.
Step 7
Complete RHS of elevation
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Repeat the projection process for the right-hand side elevation using the points derived from the plan and completing the respective shapes.
Step 8
End View of the Structure
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Transfer the width from the plan, ensuring the dimensions are carefully reflected in the end view. Use parallel lines for accuracy, setting the outline for the prism based on heights projected from the elevation.
Step 9
Projection of heights from elevation
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From the elevation, project the heights down to the end view. This will help create a clear representation of the structure's dimensions as viewed from the end.
Step 10
End view of prism
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Finalize the end view by placing the right angles based on the previously projected points. Ensure that the contour of the tunnel is present, following along with the outlined shapes.
Step 11
Complete end view
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Carefully refine the end view ensuring every detail matches with the elevation and plan for coherence in representation.
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