# What is the formula for finding the surface area of a pentagonal prism?

## What is the formula for finding the surface area of a pentagonal prism?

Surface area of pentagonal prism = 5ab + 5bh square units a = apothem length of the pentagonal prism. b = base length of the pentagonal prism. h = height of the pentagonal prism.

## How do you find the surface area of a pentagon?

The basic formula for the area of a regular pentagon is, Area of pentagon = 1/2 × p × a; where ‘p’ is the perimeter of the pentagon and ‘a’ is the apothem of a pentagon.

What is the total number of surface of a pentagonal prism?

In geometry, a pentagonal prism is a three-dimensional shape with two pentagonal bases and five rectangular faces. So, a pentagonal prism has a total of 7 faces, 15 edges, and 10 vertices out of which 2 faces are pentagonal in shape.

### What is the base edge of a pentagonal prism?

five sides
The Pentagonal Prism (named for the five-sided base) is a polygon with five sides (called edges) and five faces (called triangular sides). It has two diagonals, as well as two other interior diagonals, that meet at a center….Properties of a Pentagonal Prism.

Number of faces (Prism Faces) 7
Faces by sides 5+2

### What is the formula for finding the volume of a pentagonal prism?

We calculate the volume of a pentagonal prism using the formula is V = 5/2abh where this formula is further understood as V = [1/2 × 5 × base length × apothem] × height of the prism.

What is apothem of pentagon?

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

## What does B stand for in surface area formula?

Pl S is the surface area, B is the. area of the base, L is the lateral area, P is the perimeter of the base and l is the slant height of the pyramid.

## What is the net of a pentagonal prism?

A pentagonal prism net has two pentagons and five rectangles. The pentagons are the bases of the prism and the rectangles are the lateral faces. Once it has all been folded together, your pentagonal prism is a type of heptahedron with 15 edges, 10 vertices, and 7 faces.

How many surfaces does a pentagon have?

5
Other Types of Polygons

Polygon Number of Sides
Triangle 3