How many vertices do the hexagonal prism have?
Twelve. Six at each end.
A vertex of a three-dimensonal figure is wherever three sides meet (as in the eight corners of a cube)
To determine the number of vertices of a hexagonal prism, we need to understand the shape of a hexagonal prism and count its points where edges intersect.
A hexagonal prism is a three-dimensional figure that consists of two regular hexagonal bases and six rectangular faces connecting the corresponding vertices of the bases. Each base of the hexagonal prism has six vertices because it is a regular hexagon. Therefore, the two bases combined contribute 12 vertices to the total count.
Additionally, each of the six rectangular faces connecting the corresponding vertices of the bases contributes two vertices: one at each end. Since we have six of these rectangular faces, they provide an additional (6 x 2) = 12 vertices.
Therefore, the total number of vertices for a hexagonal prism is 12 (from the bases) + 12 (from the rectangular faces) = 24 vertices.
So, a hexagonal prism has 24 vertices.
A hexagonal prism is a three-dimensional shape that consists of two hexagonal bases connected by six rectangular faces. To find the number of vertices in a hexagonal prism, we add the number of vertices on each hexagonal base to the number of vertices on each rectangular face.
A hexagon has 6 vertices, so each hexagonal base of the prism has 6 vertices.
A rectangle has 4 vertices, so each rectangular face of the prism has 4 vertices.
Since there are two hexagonal bases and six rectangular faces, the total number of vertices in a hexagonal prism is calculated as follows:
Number of vertices in each hexagonal base: 6
Number of vertices in each rectangular face: 4
Number of hexagonal bases: 2
Number of rectangular faces: 6
Total number of vertices = (6 vertices x 2 hexagonal bases) + (4 vertices x 6 rectangular faces)
= 12 + 24
= 36
Therefore, a hexagonal prism has 36 vertices.