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

1 pair

Answer

2 pairs

Answer

4 pairs

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

Opposite faces

Answer

Adjacent faces sharing only a vertex

Answer

Non-touching faces

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

Definitely opposite faces

Answer

Definitely adjacent faces

Answer

Never-touching faces

Question 4

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

Accepted Answer

11

Answer

8

Answer

9

Answer

14

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

4

Answer

5

Answer

8

Question 6

A cube has 12 edges. When it is unfolded into a flat net by cutting along some edges, how many edges must be cut to produce a valid net?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 7

A cube net is reflected in a mirror. When the mirror-image net is folded into a cube, the result compared to the original cube is:

Accepted Answer

A mirror-image cube (chirality reversed)

Answer

An identical cube in every way

Answer

A cube with different dimensions

Answer

An invalid shape that cannot close properly