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

In the given 2D net, the solid triangle and the hollow square are on opposite ends of the main vertical column, separated by the plus sign. When folded, faces that are opposite on the net cannot be visible at the same time. The view described in the correct answer shows the solid triangle and the hollow square simultaneously, which is impossible.

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

If you visualize folding the net with the blank face as the front, the star becomes the top face and the arrow becomes the left face. The 'square' face then folds over from the top to become the back face. The back face is adjacent to the top (star), bottom, left (arrow), and right sides. Therefore, the 'square' face is adjacent to both the star and the arrow.

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

The pattern has a single hexagonal face, which serves as the base of the shape. The six triangular faces fold upward, and their vertices meet at a single point (an apex) above the base. This construction forms a hexagonal pyramid.

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

To match the cube, the three faces must meet at a single corner. In the correct net, if you designate the face with the vertical line as the front, the face above it (with the horizontal line) will fold to become the top, and the face to its right (with the circle) will fold to become the right side. This arrangement perfectly matches the cube shown.

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

When this T-shaped net is folded, the 'diamond' and the 'arrow' are on opposite sides of the central 'plus' face. If you imagine the 'plus' face as the front of the cube, the 'diamond' folds to become the left face, and the 'arrow' folds to become the right face, making them directly opposite each other.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

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