CFAT Spatial Ability: 2D Unfolding 2

Question 1

A flat net that folds into a cube must contain exactly how many squares?

Accepted Answer

6

Answer

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?

Accepted Answer

A 1×6 straight line

Answer

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?

Accepted Answer

3

Answer

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?

Accepted Answer

5

Answer

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:

Accepted Answer

1 square and 4 triangles

Answer

The net includes the square base plus all 4 triangular side faces for a total of 5 shapes.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT Spatial Ability: 2D Unfolding 2