Orthographic projection and dimensions: Is height shown in the left-side, top, right-side, and bottom views?

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
In orthographic projection, the three principal dimensions are width, height, and depth. Each standard view displays two of these dimensions. Understanding which views show which dimensions is fundamental to reading and creating drawings that communicate geometry correctly.



Given Data / Assumptions:

  • Standard principal views are front, top (plan), right-side, left-side, bottom, and rear.
  • Height is the vertical dimension of the object.
  • Projection system (first-angle vs third-angle) changes view placement but not which dimensions appear in a given view.


Concept / Approach:
Each principal view shows a pair of dimensions: the front (and rear) views show height and width; the side views show height and depth; the top (and bottom) views show width and depth. Therefore, any statement about where “height” appears must match these pairings.



Step-by-Step Solution:

Identify dimension pairings: front/rear = height + width; left/right = height + depth; top/bottom = width + depth.Check the claim: left-side (yes, shows height), top (no height), right-side (yes, shows height), bottom (no height).Because top and bottom do not display height, the list in the statement is incorrect.Thus the proper set for height is front/rear and left/right side views.


Verification / Alternative check:
Examine any cube example: draw front, top, and right-side views. Only the front and right-side show vertical edges with true height; the top view shows width and depth with no vertical size.



Why Other Options Are Wrong:

Correct: Contradicted by the dimension pairings.Only correct in first-angle projection / third-angle projection: Projection angle changes layout, not which dimensions are visible in a view.


Common Pitfalls:
Confusing view placement conventions with dimensional content; assuming “top view” somehow includes height because of drawing scale or notes.


Final Answer:
Incorrect

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