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Hexagonal Prism – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Hexagonal PrismHexagonal Prism – Definition, ExamplesTable of ContentsHexagonal Prism - Definition and Examples Definition of Hexagonal Prism

A prism is a three-dimensional solid figure with flat faces and two identical bases. The two bases of a prism are polygons like triangles, squares, rectangles, or hexagons. Prisms are usually named after the polygon that forms their base. For example, a triangular prism has two triangles as its bases, and a rectangular prism has two rectangles as its bases.

A hexagonal prism is a special type of prism that has a hexagonal base and top. It contains 8 faces, 18 edges, and 12 vertices. Out of these 8 faces, 6 are parallelograms, and 2 are hexagons (one at the base and one at the top). Hexagonal prisms can be found in real life as pencils, nuts, certain boxes, weights, some buildings, and vases.

Examples of Hexagonal Prism Example 1: Counting Faces of a Hexagonal Prism Problem:

How many total faces does a hexagonal prism have?

hexagonal prism

Step-by-step solution:

Step 1, Look at the structure of the hexagonal prism. A prism has two bases and several side faces.

Step 2, Count the bases. Since this is a hexagonal prism, it has two hexagons as its bases.

Step 3, Count the side faces. Each side of the hexagonal base connects to a rectangular or parallelogram face. Since a hexagon has 6 sides, there are 6 side faces.

Step 4, Add up all the faces. 2 bases + 6 sides = 8 faces. Therefore, a hexagonal prism has 8 faces in total.

Example 2: Identifying Side Shapes of a Hexagonal Prism Problem:

What polygons make up the sides of a hexagonal prism?

Hexagonal prism showing side faces as parallelograms

Step-by-step solution:

Step 1, Remember that a hexagonal prism has two hexagonal bases connected by side faces.

Step 2, Look at how the sides connect the two bases. Each side face connects corresponding edges of the two hexagonal bases.

Step 3, Determine the shape of these side faces. When connecting straight edges between two parallel hexagons, you create either parallelograms or rectangles.

Step 4, State the answer: The sides of a hexagonal prism are parallelograms or rectangles.

Example 3: Calculating the Volume of a Hexagonal Prism Problem:

The base of a hexagonal prism has a surface area of 475 inch². The height is 8 inches. Calculate the volume.

hexagonal prism

Step-by-step solution:

Step 1, Recall the formula for the volume of a prism. The volume of any prism can be calculated with: Volume = base area × height of the prism

Step 2, Identify the given information. We know:

Base area = 475 inch² Height = 8 inches

Step 3, Apply the formula to find the volume:

Volume = 475 inch² × 8 inches

Step 4, Calculate the result:

Volume = 475 × 8 = 3800 inch³

Step 5, State the final answer: The volume of the hexagonal prism is 3800 cubic inches.

Comments(6)HHistoryTutorEthanNovember 5, 2025This glossary def of hexagonal prism is great! I've used it to help my students grasp the concept. Simple and easy to understand.

NNatureLover95September 17, 2025I’ve used this hexagonal prism definition to help my kids with their geometry homework—it’s super clear and the examples made it easy for them to understand. Great resource!

NNatureLover85September 10, 2025I’ve used the hexagonal prism definition and examples to help my kids with their geometry homework. The clear explanation and real-world examples made it so much easier for them to understand!

NNatureLover85August 27, 2025I used this hexagonal prism definition with my kids during their geometry homework, and it made things so much clearer! The examples were super helpful for visualizing the shape. Great resource!

MCMs. CarterAugust 20, 2025I’ve used the hexagonal prism definition and examples from this page to help my kids with their geometry project. It’s clear and easy to understand, plus the real-world examples made it fun for them!

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