Which views show width? Does the width dimension appear in the rear, top, front, and bottom views in orthographic projection?
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ACorrect
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BIncorrect
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COnly in front and top views, never in rear or bottom
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DOnly in side views
Answer
Correct Answer: Correct
Explanation
Introduction / Context:Each principal view in orthographic projection displays two of the three principal dimensions: width, height, and depth. Knowing where each dimension appears helps drafters place dimensions and choose the minimum set of views for clarity and completeness.
Given Data / Assumptions:
- Front and rear views are opposite faces; top and bottom are opposite faces.
- Width is the left–right horizontal dimension on the sheet.
- Standard view relationships apply independent of projection angle (first vs third).
Concept / Approach:The front (and rear) views show width and height. The top (and bottom) views show width and depth. Therefore, width appears in front, rear, top, and bottom. Side views (left/right) show height and depth and do not display width.
Step-by-Step Solution:
Recall pairings: front/rear = height + width; top/bottom = width + depth; left/right = height + depth.Identify where width exists: front, rear, top, bottom.Compare to claim: “rear, top, front, and bottom” exactly matches the correct set.Conclude the statement is correct.Verification / Alternative check:Sketch a simple block and label axes. Project to front, top, and right-side views; observe width on front and top. Repeat for bottom and rear; the same width is present by symmetry.
Why Other Options Are Wrong:
Incorrect / Only in front and top views: Omits rear and bottom, which also show width.Only in side views: Side views show height and depth, not width.Common Pitfalls:Confusing “depth” with “width” in the top view; mislabeling axes when switching between views.
Final Answer:Correct