How does a pentagonal prism look

The 3D shape so formed will be a pentagonal prism! Here are some real-life examples of a pentagonal prism. Look at the figures given below and look around you to find more examples of pentagonal prism and make your own list. A pentagonal prism consists of various properties that are unique to this solid shape.

Listed below are some of the properties of a pentagonal prism:. I f all the sides of a pentagonal prism are equal in length, it is called a regular pentagonal prism. Note the following properties of a regular pentagonal prism. If the pentagon faces of a pentagonal prism are congruent and parallel, and the rectangular faces are perpendicular to the pentagon faces, it is called a right pentagonal prism. If the pentagon faces of a pentagonal prism are not exactly on top of each other, that is, when the rectangular faces are not perpendicular to the pentagon faces, it's called an oblique pentagonal prism.

The formulas of a pentagonal prism help us to find out the surface area and its volume very quickly and easily. Observe the following figure where 'a' is the apothem length of the prism, 'b' is the base length, and 'h' is the height of the prism.

The surface area of a pentagonal prism gives the area of each face of the prism. The formula for the surface area of a pentagonal prism is:. The volume of a pentagonal prism gives the capacity of the prism. The formula for the volume of a pentagonal prism is:. 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.

The net of a pentagonal prism is the flattened view of the shape. When the pentagonal prism is opened, the two shapes that can be seen are the rectangle and the pentagon. The net of the pentagonal prism consists of the two pentagons which is the base of the shape and rectangles which is the sides or faces of the shape.

Example 1: Jenifer is packing a chocolate box in the shape of a pentagonal prism. She needs wrapping paper to pack it. Determine the surface area of the wrapping paper needed if the dimensions of the box are as follows:. To determine the surface area of the wrapping paper, we need to determine the surface area of the box. Example 2: Emily wants to fill a pentagonal prism-shaped container with water. Determine the capacity of the container so that Emily knows how much water is needed.

The dimensions of the container are as follows:. To know the capacity of the container, we need to find the volume of the container. A pentagonal prism is a three-dimensional solid that has two pentagonal bases on the bottom and top of the shape. There are types of pentagonal prism - regular pentagonal prism and rectangular pentagonal prism.

A pentagonal prism has 15 edges, 7 faces, and 10 vertices. An octagonal prism is a three-dimensional solid. It has two opposite and parallel octagon bases and eight rectangular faces. A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called bases, which can be a square, triangle, or any polygon.

The second most common calculation made on a pentagonal prism is to find its surface area. To find the surface area of a pentagonal prism you need the same three numbers a, s, and h as you did for the volume. Multiply 5 a s together and 5 s h together and then add the two numbers. Lynn Wood is a professional writer who grew up on a dairy farm in rural Missouri. After completing her bachelor's degree in English and journalism at Brigham Young University-Idaho, she stayed there and taught in the university's math department for three years before settling down in Preston, Idaho.

Wood now teaches high-school English. How to Calculate the Area of a Base. Everyday Examples of Prisms. How to Convert Inches to Cubic Feet. How to Find the Volume of a Parallelogram. How to Find the Perimeter of a Prism. How to Solve a Hexagon. How to Calculate Area of an Obtuse Triangle. How to Calculate Volume of a Rectangular Prism.

How to Calculate Area in Square Inches.