CFAT Spatial Ability: 3D Folding 2

Question 1

A cube has 6 faces. When any valid net of a cube is folded, how many pairs of opposite faces does the finished cube always have?

Accepted Answer

3 pairs

Answer

Every cube has exactly 3 pairs of opposite faces, one pair for each spatial axis (top/bottom, front/back, left/right).

Question 2

In a cube net, square A shares an edge with square B. After folding the net into a cube, squares A and B will be:

Accepted Answer

Adjacent faces sharing an edge

Answer

Squares that share an edge in the net will also share an edge in the finished cube — the fold line becomes the shared edge.

Question 3

A cube net is laid flat. Two squares that are NOT directly connected to each other in the net will become what in the folded cube?

Accepted Answer

Either adjacent or opposite, depending on their positions

Answer

Non-adjacent squares in the net can become either opposite or adjacent faces depending on their specific layout — position in the net determines this.

Question 4

How many distinct flat arrangements (hexominoes) of 6 squares can be folded into a valid cube?

Accepted Answer

11

Answer

There are exactly 11 distinct hexominoes that can be folded into a cube — a proven geometric result.

Question 5

A rectangular prism (box) has three different pairs of faces: top/bottom, front/back, and left/right. Its net laid flat will always contain how many total rectangles?

Accepted Answer

6

Answer

A rectangular prism has exactly 6 faces (3 pairs of opposite rectangles), so its net always contains 6 rectangles.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT Spatial Ability: 3D Folding 2