Q: How is the number of faces of a prism related to the number of sides of its base?

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A prism is any 3 dimensional geometric object with parallel bases which are congruent polygons. The lateral faces of a prism are parallelograms. We generally talk of an n-sided prism where n is a natural number telling us the number of sides the prism has. To be more precise an prism is a polyhedron with two congruent polygonal faces and all the remaining faces are parallelograms. A cube is a common example of a prism. It has six sides. A triangular prism has 5 sides. So the answer to the questions : how many sides does a prism have? is it all depends on the prism, it can have different number of sides. Now a pyramid is also a 3 dimensional shape but instead of two bases it has one base connected to a point called the apex. The base of a prism is a polygon and a prism is a polyhedron also. It can have different number of sides also so there is once again no fixed answer.

The number of faces in a prism is one face for each of the sides of its cross-section plus the two end faces. A quadrilateral prism has a quadrilateral as its cross-section. Therefore it has 4 + 2 = 6 faces.

Faces + Vertices = Edges + 2

Sides and faces are the same thing. A hexagonal prism has 8 faces and 12 vertices.

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Related questions

The greatest number of sides can be any amount of sides.

A prism has two polygonal faces at each end and these may have any number of sides, n. The prism also has n rectangular faces.

A prism is often named according to its base: one of the pair of congruent and parallel polygonal faces. In that case, if the base is a polygon with n sides, then the prism has 2*n vertices.

A prism is any 3 dimensional geometric object with parallel bases which are congruent polygons. The lateral faces of a prism are parallelograms. We generally talk of an n-sided prism where n is a natural number telling us the number of sides the prism has. To be more precise an prism is a polyhedron with two congruent polygonal faces and all the remaining faces are parallelograms. A cube is a common example of a prism. It has six sides. A triangular prism has 5 sides. So the answer to the questions : how many sides does a prism have? is it all depends on the prism, it can have different number of sides. Now a pyramid is also a 3 dimensional shape but instead of two bases it has one base connected to a point called the apex. The base of a prism is a polygon and a prism is a polyhedron also. It can have different number of sides also so there is once again no fixed answer.

The number of faces in a prism is one face for each of the sides of its cross-section plus the two end faces. A quadrilateral prism has a quadrilateral as its cross-section. Therefore it has 4 + 2 = 6 faces.

a rectangular prism has Six sides

Sides = 9 Faces = 5

My answer to that question is eight sides. * * * * * Actually, there is no single answer because a prism is a generic term which is used to describe a polyhedron with two congruent and parallel bases and a number of rectangular faces joining them. If the base is a polygon with n sides (n ≥ 3), then the corresponding prism has n+2 faces. So a prism can have 5 or more faces.

This question is not the clearest. However, an n-sided prism will typically have n+2 faces: the n sides, and the two ends. So a nine-sided prism will have 11 faces.

All prisms have a face on each end. Additionally, they will have a number of faces corresponding to the number of sides on the polygon that is on an end. For a triangular prism, that's 2 + 3 = 5 faces. For a square prism, that's 2 + 4 = 6 faces. For your pentagon prism, that's 2 + 5 = 7 faces.

Faces + Vertices = Edges + 2

A decagonal prism has 12 faces.