Spatial Reasoning Flashcards

A flat net consists of 6 squares arranged in a cross shape (one center square with four squares attached to its sides and one square above the center). When folded, this net forms which 3D shape?

Answer: Cube

A cross-shaped net of 6 equal squares folds into a cube, as it provides all six faces needed.

You have a 3×3×3 cube made of smaller unit cubes. If you remove all the unit cubes that have at least one face exposed to the outside, how many unit cubes remain hidden in the center?

Answer: 1

Only the very center unit cube of a 3×3×3 cube has no face exposed; all other 26 unit cubes touch at least one outer surface.

A figure shows four small triangles arranged to form one large triangle. If each small triangle has a base of 3 cm, what is the base length of the large triangle?

Answer: 9 cm

When four congruent triangles are arranged to form a larger similar triangle, the linear scale factor is 2, making the base 3 × 3 = 9 cm.

Which of the following objects, when rotated 180°, looks identical to its original position?

Answer: Letter 'S'

The letter 'S' has 180° rotational symmetry, meaning it looks the same when turned upside down.

A staircase is made of blocks stacked in steps: 1 block on top, 2 in the middle row, and 3 at the bottom. How many blocks are used in total?

Answer: 6

The staircase contains 1 + 2 + 3 = 6 blocks in total.

If a rectangle is 8 cm long and 5 cm wide, and you fold it in half along its length, what are the dimensions of the folded shape?

Answer: 4 cm × 5 cm

Folding along the length means halving the 8 cm side, leaving dimensions of 4 cm × 5 cm.

A shape is reflected across a vertical line. The original shape has its topmost point at the upper-left. After reflection, where is the topmost point?

Answer: Upper-right

Reflection across a vertical line swaps left and right but preserves up and down, moving the upper-left point to the upper-right.