CFAT Spatial Ability: 2D Unfolding 2 — Questions and Answers
Question 1: A flat net that folds into a cube must contain exactly how many squares?
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
A cube has 6 faces, so its net requires exactly 6 equal squares.
Question 2: Which of these 6-square arrangements CANNOT fold into a cube?
- A cross (plus sign) shape
- A 1×6 straight line (Correct answer)
- An L-shaped arrangement
- A T-shaped arrangement
Correct answer: A 1×6 straight line
A 1×6 straight line cannot fold into a cube because the two end squares would overlap the same face.
Question 3: A cube has how many pairs of opposite (non-touching) faces?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
A cube has 6 faces forming 3 opposite pairs: top/bottom, front/back, and left/right.
Question 4: In a cube net shaped as a 1×4 row with one extra square attached above the first square and one below the third, how many edge-connections exist between adjacent squares?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
A row of 4 has 3 connections; adding 1 square above and 1 below gives 2 more, totaling 5 connections.
Question 5: A square pyramid has a square base and 4 triangular sides. Its unfolded net contains:
- 4 triangles only
- 1 square and 3 triangles
- 1 square and 4 triangles (Correct answer)
- 2 squares and 2 triangles
Correct answer: 1 square and 4 triangles
The net includes the square base plus all 4 triangular side faces for a total of 5 shapes.
Question 6: When two squares share an edge in a cube net, those two faces will do what in the finished cube?
- Be opposite each other
- Share an edge (Correct answer)
- Overlap completely
- Be at right angles without touching
Correct answer: Share an edge
Squares sharing an edge in the net remain connected at that shared edge when folded into a cube.
Question 7: A triangular prism has 2 triangular ends and 3 rectangular sides. Its complete net contains how many shapes total?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
The net contains 5 shapes: 2 triangles and 3 rectangles representing all faces of the prism.
CFAT Spatial Ability: 2D Unfolding 2
A flat net that folds into a cube must contain exactly how many squares?