CFAT - Canadian Forces Aptitude Spatial Ability: 2D Unfolding Questions and Answers

Question 1

Which of the following 3D shapes can be formed from the 2D pattern shown? (Image depicts a 2D net of a cube with symbols: a solid black circle, a hollow square, and an 'X' on adjacent faces in a line.
The face with the 'X' is in the center.)

Accepted Answer

A cube where the 'X', the solid circle, and the hollow square all meet at a single vertex.

Answer

A cube where the 'X' and the solid circle share an edge, and the hollow square is opposite the 'X'.

Answer

A cube where the solid circle and the hollow square are on opposite faces.

Answer

A cube where the 'X' is on top, and the solid circle is on the bottom face.

Question 2

A soldier needs to assemble a box from a flat piece of cardboard. The pattern is a standard six-square cross shape for a cube. If the bottom-most square in the vertical part of the cross is the base of the cube, which square becomes the top lid?

Accepted Answer

The top-most square in the vertical column.

Answer

The square to the left of the vertical column.

Answer

The second square from the bottom in the vertical column.

Answer

The square to the right of the vertical column.

Question 3

Examine the provided 2D net. Which of the answer choices represents the correct 3D object when the net is folded? (Image shows a net with a central rectangular face, with two smaller square faces attached to its shorter sides, and two triangular faces attached to its longer sides.)

Accepted Answer

A triangular prism

Answer

A cube

Answer

A square pyramid

Answer

A cylinder

Question 4

If the 2D pattern is folded to form a cube, which face will be opposite the face with the star?

Accepted Answer

The face with the square

Answer

The face with the triangle

Answer

The face with the circle

Answer

The blank face

Question 5

A 2D pattern is made of six squares in a single row. What happens when you try to fold this pattern to create a cube?

Accepted Answer

It is impossible to form a closed 3D shape because the faces will overlap.

Answer

It forms a cube with one open side.

Answer

It forms a complete and closed cube.

Answer

It forms an open-ended rectangular tube, but not a cube.

Question 6

You are given a 2D pattern to fold into the 3D shape shown. Which corner of the pattern, labeled 1, 2, 3, or 4, will touch the corner marked with an 'X' on the folded cube? (Image shows a 2D net and a corresponding 3D cube. The net is a cross shape. The central square has an 'X' in one corner. The surrounding squares have corners labeled 1, 2, 3, 4.)

Accepted Answer

Corner 2

Answer

Corner 4

Answer

Corner 1

Answer

Corner 3