CFAT - Canadian Forces Aptitude Spatial Ability: 3D Folding Questions and Answers

Question 1

A 2D pattern for a cube is shown.
Three of the answer choices are possible views of the cube when it is folded.
Which view is IMPOSSIBLE to create from the given pattern? The pattern is a cross shape: the central square has a plus sign (+).
The square above it has a solid circle.
The square below it has a solid triangle.
The square to the left is blank.
The square to the right has three horizontal lines.
The square below the triangle has a hollow square.

Accepted Answer

A view showing the solid triangle, the hollow square, and the blank face.

Answer

A view showing the solid circle, the plus sign, and the blank face.

Answer

A view showing the plus sign, the hollow square, and the three horizontal lines.

Answer

A view showing the solid triangle, the plus sign, and the blank face.

Question 2

The provided 2D net is folded to form a cube. Which face will be adjacent to BOTH the face with the star and the face with the arrow? The net is a cross shape: the central square is blank. The square above it is a star. The square below it is a circle. The square to the left is an arrow pointing left. The square to the right is a diamond. The square at the very top of the pattern (attached to the star) is a square.

Accepted Answer

The face with the square

Answer

The face with the diamond

Answer

The blank face

Answer

The face with the circle

Question 3

A technician is fabricating a part from a flat sheet of metal. The 2D pattern consists of one central hexagonal face with a triangle attached to each of its six sides. When this pattern is correctly folded, what 3D shape is created?

Accepted Answer

Hexagonal Pyramid

Answer

Hexagonal Prism

Answer

Octahedron

Answer

Dodecahedron

Question 4

The image displays a folded cube showing three faces. The front face has a vertical line (|), the top face has a horizontal line (—), and the right-side face has a circle (O). Which of the following 2D nets could be folded to create this specific cube?

Accepted Answer

A cross-shaped net with the vertical line in the center, the horizontal line above it, and the circle to its right.

Answer

A net where the circle and vertical line are on opposite sides of the horizontal line's face.

Answer

A net with the three symbols in a single row in the order: circle, vertical line, horizontal line.

Answer

A cross-shaped net with the vertical line in the center, the horizontal line below it, and the circle to its left.

Question 5

The 2D net shown is folded into a cube. Based on the net's layout, which symbol is on the face opposite the face with the diamond? The net is T-shaped. The vertical part has four squares (from top to bottom): star, plus, circle, square. The horizontal part consists of a diamond to the left of the 'plus' face and an arrow to the right of the 'plus' face.

Accepted Answer

Arrow

Answer

Plus

Answer

Star

Answer

Circle

Question 6

A line is drawn on the 2D pattern of a cube as shown. The pattern is a cross shape. A straight line starts at the midpoint of the left edge of the central square, passes through its center, and ends at the midpoint of its right edge. A second straight line is on the square to the right of the central square; it runs from the midpoint of its left edge to its center. Which option shows the resulting line on the folded cube?

Accepted Answer

A continuous straight line that crosses from the front face to the right-side face, ending at the center of the right-side face.

Answer

A continuous 'T' shape across two faces.

Answer

Two separate, unjoined lines on adjacent faces.

Answer

A continuous line that forms a right angle at the edge between two faces.