Shown in the box are the orthographic views of a 3D object. Which option represents that object?
Show Hint
When matching orthographic views, start with the most distinctive view. In this case, the front view with its unique diagonal bar is a good starting point to quickly eliminate incorrect options.
Step 1: Understanding the Concept:
This question requires us to match a set of 2D orthographic projections (top, front, and side views) with the correct 3D isometric view of an object. We must mentally rotate each 3D object to see if its projections match the given 2D views.
Step 2: Key Formula or Approach:
We will analyze each 3D option and compare its projections to the given views one by one.
Front View Check: Look at the 3D object from the front and see if it matches the given "Front view".
Top View Check: Look at the 3D object from directly above and see if it matches the given "Top view".
Side View Check: Look at the 3D object from the right side and see if it matches the given "Side view".
The correct option must match all three views.
Step 3: Detailed Explanation:
Let's examine the given views first:
Front View: Shows a 'U' shape with a diagonal bar going from top-left to bottom-right.
Top View: Shows an 'H' shape with an additional horizontal bar connected to the right vertical bar.
Side View: Shows a 'U' shape with a horizontal bar connecting the two top ends.
Now, let's test the options: (A) The front view of this object contains vertical pillars and a 'Z' shape, which does not match the given front view. (B) The front view of this object is a 'U' shape with a horizontal bar, not a diagonal bar. This does not match. (C) The front view has the required diagonal bar, but the top view would be a frame with a diagonal bar, which does not match the given 'H' shaped top view. (D) Let's check this object against all three views:
Front View: Looking from the front, we see a 'U' shape with the correct diagonal bar. This is a match.
Top View: Looking from above, the top surfaces form the distinct 'H' shape with the extra bar on the right. This is a match.
Side View: Looking from the right side, we see the 'U' shape with the horizontal bar across the top. This is a match.
Step 4: Final Answer:
Object (D) is the only option that correctly matches all three given orthographic views.
