A block with a trapezoidal cross-section is placed over a block with 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 an arrow in the above figure?
Correct Answer :
Solution :
Correct Option: Option 1 (represented by the first option image)
To determine the correct view of the 3D object in the direction of the arrow, we can analyze the components step-by-step from the perspective of the observer:
1. Identify the Direction of View:
The arrow points from the right-hand side toward the left. This means the observer is looking directly at the side profile along the length of the blocks.
- Objects and surfaces towards the front-left of the 3D drawing will appear on the left side of the observer's view.
- Objects and surfaces towards the back-right of the 3D drawing will appear on the right side of the observer's view.
2. View of the Bottom Block:
The bottom block is described as having a rectangular cross-section. Looking directly at its end face from the direction of the arrow, it will be projected as a flat, horizontal rectangle.
3. View of the Top Block:
The top block has a trapezoidal cross-section:
- The front-left face of the top block is slanted (sloping upwards and inwards). Since this face is on the front-left, it appears as a slanted line on the left side of the projection.
- The rear face of the top block is vertical and aligned with the rear edge of the bottom block. Since this is on the back-right, it appears as a vertical line on the right side of the projection.
Conclusion:
Combining these elements, the correct 2D projection consists of a horizontal rectangle at the bottom, with a trapezoid on top whose left side is slanted and whose right side is vertical and aligned with the right edge of the rectangle. This corresponds exactly to the drawing shown in Option 1.
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