Question

The solid is a right hexagonal pyramid. What is the sum of the number of faces, vertices, and edges of the solid?

A) 7
B) 12
C) 26
D) 38

Answer 1

A right hexagonal pyramid has 7 vertices, 7 faces, and 12 edges. The sum of these numbers is 26, which is the answer to the question.

Step-by-step explanation:

The solid described in the question is a right hexagonal pyramid, which means it has a hexagonal base and six triangular faces that meet at a single vertex on top. To find the sum of the faces, vertices, and edges, we'll break down each component:

• Vertices: A hexagonal pyramid has 7 vertices (6 around the base and 1 at the top).
• Faces: It has 7 faces (6 triangles and 1 hexagon base).
• Edges: The solid has 12 edges (6 around the base and 6 up the sides).

The sum of faces, vertices, and edges of the solid is 7 (vertices) + 7 (faces) + 12 (edges) = 26.