CFAT Spatial Ability: 3D Folding 3

Question 1

A square pyramid has one square base and four triangular sides. How many total faces does this shape have?

Accepted Answer

5

Answer

A square pyramid has 5 faces: 1 square base plus 4 triangular lateral faces.

Question 2

The net of a triangular prism contains exactly how many faces?

Accepted Answer

5

Answer

A triangular prism has 5 faces: 2 triangular end caps and 3 rectangular side panels.

Question 3

A net consists of a central equilateral triangle with one equilateral triangle attached to each of its three edges. When folded, this creates:

Accepted Answer

A tetrahedron

Answer

One central triangle plus three attached triangles gives 4 total faces, which fold into a tetrahedron (triangular pyramid).

Question 4

A hexagonal prism net contains two hexagonal end faces and how many rectangular side faces?

Accepted Answer

6

Answer

A hexagonal prism has 6 rectangular side faces — one for each edge of the hexagonal base — plus 2 hexagonal end faces.

Question 5

A regular octahedron has 8 equilateral triangular faces. Its net therefore contains:

Accepted Answer

8 triangles

Answer

The net of any polyhedron contains all of its faces laid flat, so an octahedron's net has all 8 triangular faces.

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