Choose the picture that would go in the empty box so that the two bottom…

In this family of figure analogies, a 3-D solid in the top-left cell is paired with the flat 2-D shape you would see by looking straight at one of its faces (or its outline/cross-section) in the top-right cell. The bottom row must show the exact same solid-to-face relationship, applied to a different solid.

The top row pairs a pyramid with a triangle - a triangle is the shape of one of the pyramid's flat faces. Applying the same rule to the bottom row, the solid shown is a cube, so the missing figure must be the 2-D shape of one of the cube's flat faces: a square. Among the four choices, the figure showing a square completes the box.

• The eight-sided figure: an octagon has eight straight sides, a count that does not correspond to any face of a cube, so it cannot represent one.

• The cone-shaped figure: a cone is itself a three-dimensional solid, not the flat face of another solid, so it breaks the solid-to-face pattern the top row sets.

• The cuboid-shaped figure: a cuboid is likewise a three-dimensional solid rather than a flat 2-D face, so it does not fit the required relationship either.

Only the square is both two-dimensional and a genuine face of a cube, so it is the figure that belongs in the empty box - exactly mirroring how the triangle is a face of the pyramid above it.