Question

In a 3D structure made of cubes of equal size, an L-shaped hole is made by removing a few cubes, as shown on the left. Which of the 3D structures in the options on the right would successfully pass through the L-shaped hole, given that they are also made of cubes of the same size?

• A. A
• B. B
• C. C
• D. D

Hint:

For 3D hole-fitting problems, always trace the shape of the cavity and match it with the projection of the options. Extra cubes sticking out usually disqualify wrong options.

Answer 1

The Correct Option is C

Step 1: Visualize the L-shaped hole.
The hollow space inside the cube structure is shaped like the letter “L”: one vertical section and one horizontal section, both of uniform cube-width. Any figure passing through must fit perfectly inside this path.
Step 2: Analyze each option.
- (A): Too tall; would collide with the top of the hole.
- (B): Too broad on the top side; cannot fit into the narrow L passage.
- (C): The horizontal part followed by a vertical rise matches exactly the L-shape hole. It can pass smoothly.
- (D): Bent structure but has extra cubes sticking out, preventing free passage.
Step 3: Conclude.
Only option (C) matches the dimensions and orientation of the L-shaped cavity. Final Answer: \[ \boxed{\text{C}} \]