There is no equation - the answer is explicit in the name.
A pentagonal prism has pentagonal bases. A pentagon has 5 sides. It could not be simpler!
Five.Five.Five.Five.
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. A pentagonal prism has 15 edges.
A hexagonal prism's base is called a hexagonal base. The names of prisms are given according to the shape of their bases. A hexagonal prism has a base that is shaped like a hexagon. Similarly, a pentagonal prism has a pentagonal base.
A 3D shape with a pentagonal face and a rectangular base is known as a pentagonal prism. This prism consists of two parallel pentagonal faces connected by five rectangular lateral faces. The rectangular base can be one of the faces of the prism, depending on its orientation, but typically, a pentagonal prism is defined by its two pentagonal bases and rectangular sides.
5
The base of a pentagonal prism is a pentagon. Just like a square pyramid has a square for a base, a pentagonal prism has a pentagon for a base.
Five.Five.Five.Five.
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. A pentagonal prism has 15 edges.
The pentagonal prism has seven sides including the bases
A hexagonal prism's base is called a hexagonal base. The names of prisms are given according to the shape of their bases. A hexagonal prism has a base that is shaped like a hexagon. Similarly, a pentagonal prism has a pentagonal base.
A 3D shape with a pentagonal face and a rectangular base is known as a pentagonal prism. This prism consists of two parallel pentagonal faces connected by five rectangular lateral faces. The rectangular base can be one of the faces of the prism, depending on its orientation, but typically, a pentagonal prism is defined by its two pentagonal bases and rectangular sides.
10
A Pentagon.
Area of Base x Height
5
5
The number of diagonals per vertices can be found by taking n(number of sides) minus 3, or n-3. Thus a pentagonal prism will have 5 sides per base, making the formula 5-3=2. There are 2 diagonals per vertex in a pentagonal prism. Source: My math teacher