# How do you find the surface area of a pentagonal prism?

## How do you find the surface area of a pentagonal prism?

The total surface area of pentagonal prism = 2 × area of the base of pentagonal prism + lateral surface area of the pentagonal prism. Therefore, the total surface area of pentagonal prism = 5ab + 5bh.

### How do you find the surface area and volume of a pentagonal prism?

1. If all the sides of a pentagonal prism are equal in length, it is called a regular pentagonal prism.
2. Surface Area = (5ab + 5bh) square units.
3. Volume = (5/2 × abh) cubic units.
4. Example: If the apothem length ‘a’ of a pentagonal prism is 5 feet, the base length ‘b’ is 4 feet, and the height ‘h’ is 6 feet.
5. Related Articles:

What is the surface area of a shape?

What is surface area? Surface area is the amount of space covering the outside of a three-dimensional shape.

What is the volume of a pentagon?

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.

## How do you find volume of a pentagon?

What is the Formula for Calculating 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 surface area of a shape?

Surface area is the total area of the faces of a three-dimensional shape. Surface area is measured in square units. To calculate surface area of a three-dimensional shape, follow these steps: Identify all of the two-dimensional faces of the three-dimensional shape. Find the area of each face.

How do you find a surface area?

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units.