Spatial Reasoning 1 Flashcards

A triangular prism stands on a table. How many edges does it have in total?

Answer: 9

A triangular prism has two triangular ends (3 edges each = 6 edges) plus 3 edges connecting the corresponding vertices of the two triangles, giving 6 + 3 = 9 edges total.

If you rotate the letter 'Z' 90 degrees clockwise, which letter does the result most closely resemble?

Answer: N

Z consists of two horizontal strokes connected by a diagonal. Rotating 90° clockwise turns those horizontals into verticals and repositions the diagonal so the figure looks like 'N'.

A solid sphere is sliced by a flat plane passing exactly through its center. What shape is the cross-section?

Answer: Circle

Any flat cut through the center of a perfect sphere produces a circle whose radius equals the sphere's radius — called a great circle.

Two identical cubes are placed face-to-face to form a single rectangular solid. How many faces does the resulting shape have?

Answer: 10

Each cube contributes 6 faces, totaling 12. However, the two faces pressed together become interior and are no longer visible, so 12 − 2 = 10 outer faces remain.

A square piece of paper is folded in half along one diagonal, then folded in half along the other diagonal. When fully unfolded, how many triangular sections does the paper show?

Answer: 4

The first diagonal fold creates one crease dividing the square into 2 triangles. The second diagonal fold creates a second crease, and together the two diagonal creases divide the square into 4 equal triangles.

How many squares of ALL sizes (not just the smallest) can be counted in a 3×3 grid of unit squares?

Answer: 14

Count by size: there are 9 unit (1×1) squares, 4 larger (2×2) squares, and 1 full (3×3) square, giving 9 + 4 + 1 = 14 squares in total.