A net consisting of a hexagonal base and six congruent triangular faces meeting at a common apex represents which solid?

A net consisting of a hexagonal base and six congruent triangular faces meeting at a common apex represents which solid?

• A. Triangular prism
• B. Hexagonal pyramid
• C. Cube
• D. Hexagonal prism

Answer: (B)

When a net has a hexagonal base and six congruent triangular faces attached along each edge that all come together at a single top point, it forms a hexagonal pyramid. The defining feature of a pyramid is one base and triangular lateral faces that meet at an apex; here the base is a hexagon and there are six triangles meeting at the apex, which is exactly a hexagonal pyramid. The other shapes don’t fit this net: a triangular prism would have two triangular ends and rectangular sides; a cube is made of square faces; a hexagonal prism would have two hexagonal bases with rectangular sides, not triangular faces converging to an apex.

When a net has a hexagonal base and six congruent triangular faces attached along each edge that all come together at a single top point, it forms a hexagonal pyramid. The defining feature of a pyramid is one base and triangular lateral faces that meet at an apex; here the base is a hexagon and there are six triangles meeting at the apex, which is exactly a hexagonal pyramid.

The other shapes don’t fit this net: a triangular prism would have two triangular ends and rectangular sides; a cube is made of square faces; a hexagonal prism would have two hexagonal bases with rectangular sides, not triangular faces converging to an apex.