In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?
To determine which 3D structure in Panel II corresponds to the views shown in Panel I, we need to analyze both the front and top views provided.
Steps to Solve:
- Examine the front view in Panel I. It shows a structure with a staggered L-shape.
- Check the top view in Panel I. It depicts a similar L-shape but from above, indicating a step-like formation.
Now, analyze each option in Panel II:
- Option (i): This structure has a different configuration, not matching the staggered layers in the views.
- Option (ii): This option does not align with the step-like shape seen in Panel I's top view.
- Option (iii): The configuration also does not match, particularly when considering the overall shape from the front view.
- Option (iv): This structure matches both the front and top views shown in Panel I with its L-shape and staggered height.
Based on the analysis above, the correct 3D structure that corresponds to the views in Panel I is found to be option (iv). The views align perfectly with the stated shapes and perspectives from both views.
Therefore, the correct answer is (iv).
Important Questions from 2D 3D Pattern Visualization
- Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
How many triangles are present in the given figure?
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
What is the maximum number of squares without a "hole in the interior" that can be formed within the 4 × 4 grid using the unit squares as building blocks?
