See the problem.
Choose a method.

Repeatable method

1. Inventory the object’s extreme width, height, projections, and any notch that must survive in silhouette.
2. Mentally place one plausible face toward the opening; do not judge only the pictured orientation.
3. Check the entire boundary. A choice fails if one arm, corner, or indentation cannot clear.
4. Use dimensions last: an otherwise matching outline can still be too narrow or short.

Common traps

• Matching one local feature instead of the full silhouette
• Rotating the object after it has entered
• Ignoring a hidden symmetric indentation

Repeatable method

1. Name the shared axis between each pair: top↔front share width; top↔end share depth; front↔end share height.
2. Project distinctive corners and height changes across aligned views before studying small lines.
3. Decide whether each candidate edge is an outside boundary, visible step, or hidden feature.
4. Eliminate any option that violates even one shared dimension; then reconcile the remaining internal lines.

Common traps

• Treating the drawing as perspective
• Moving a feature to the wrong depth row
• Turning every interior line into a visible edge

Repeatable method

1. Ignore ray length and rotate the four openings mentally toward one common baseline.
2. Find the clearest smallest and largest first; this often reduces the order to one close pair.
3. Compare that pair near the vertex, where a tiny angular difference is least distorted by ray length.
4. Check that the selected sequence lists the printed angle numbers—not their screen positions.

Common traps

• Choosing the angle with shorter rays
• Comparing endpoint distance instead of opening
• Reversing the requested small-to-large order

Repeatable method

1. Read the folds forward once, tracking which piece of paper remains visible after each arrow.
2. Start at the punch and undo only the final fold. Mirror the hole by the same perpendicular distance across that crease.
3. Undo the next fold by reflecting every hole now present—not just the original punch.
4. Check symmetry, crease distance, and hole count. Overlapping reflections can reduce the naive 2ⁿ count.

Common traps

• Unfolding in the original order
• Reflecting across the wrong crease
• Assuming every fold always doubles the number of distinct holes

Repeatable method

1. Reconstruct the stack by columns and add every hidden support required beneath an upper cube.
2. For each cube, count exposed top and side faces; never count the bottom resting face as painted.
3. Use a five-column tally labeled 1–5 and record every cube exactly once.
4. Confirm that the tally total equals the total number of visible plus required hidden cubes.

Common traps

• Forgetting a support cube
• Painting the bottom face
• Counting the same cube from two visible sides

Repeatable method

1. Choose one anchor face and identify the faces that touch each of its four edges.
2. Determine opposite faces. Opposites can never appear together at one visible corner.
3. Track one distinctive mark or edge around the fold to preserve handedness and orientation.
4. Reject impossible options one relationship at a time instead of trying to animate the entire solid at once.

Common traps

• Putting opposite faces at one corner
• Preserving symbols but reversing left/right order
• Treating a diagonal contact as an edge adjacency