A block with a trapezoidal cross-section is placed over a block with a rectangular cross-section as shown above. Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by the arrow in the above figure?
Show Hint
When visualizing the view of a 3D object from a given direction, focus on the visible shapes of the cross-sections, paying attention to how they align with the perspective from that direction.
The 3D object in the given figure consists of two parts: a trapezoidal cross-section placed over a rectangular block. The key to solving this problem is to imagine the view of the object as seen from the direction indicated by the arrow.
Step 1: Analyzing the Shape
The block with the trapezoidal cross-section is placed on top of the rectangular block. From the arrow's direction, we are viewing the object from the side where the trapezoidal shape is most prominent. This means the trapezoid’s top edge will be visible, and the bottom will appear to taper toward the rectangular base.
Step 2: Visualizing the Correct View
In option (A), we see a shape where the top is slanted (as expected from the trapezoidal cross-section), and the bottom is a straight line, matching the rectangular base. This corresponds to the view of the 3D object as seen from the arrow’s direction.
Step 3: Conclusion
Therefore, the correct answer is (A), as it matches the expected side view of the object.
Final Answer:
\[
\boxed{(A)}
\]
