# FREE UMAT Spatial Reasoning Questions and Answers

#### If a transparent cube is viewed from a particular angle, which of the following shapes is it least likely to resemble?

Correct!
Wrong!

A cube is least likely to resemble a pentagon when viewed from any angle, as it typically appears as a square, hexagon, or triangle based on perspective.

#### A cube is painted on all six faces and then cut into 27 smaller cubes.

How many of the smaller cubes have exactly one face painted?

Correct!
Wrong!

Only the smaller cubes in the middle of each face of the original cube have exactly one face painted. There are 6 faces and each face has 1 middle cube, so 6 faces x 2 cubes per face = 12 cubes.

#### Identify the 3D shape that cannot be created from the given 2D shape (net):

Net: A flat pattern consisting of a base square, four attached triangles, and a square attached to one of the triangles.

Correct!
Wrong!

The given net can be folded to form a pyramid with a square base or a tent-like structure but not a triangular prism, which has a different net structure.

#### Which shape can be formed by folding the given net?

Net: A flat pattern consisting of 6 squares in a cross shape.

Correct!
Wrong!

The given net is a standard net for a cube, where 6 squares form the 6 faces of a cube when folded.

#### Which 3D shape will be formed when the 2D shape below is rotated around the vertical axis?

2D shape: A rectangle.

Correct!
Wrong!

Rotating a rectangle around its vertical axis will form a cylinder.