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Rectangular Prism – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Rectangular PrismRectangular Prism – Definition, ExamplesTable of ContentsRectangular Prism Definition of Rectangular Prism

A rectangular prism is a three-dimensional solid shape with six rectangular faces, eight vertices, and twelve edges. It has two identical rectangular bases and four rectangular lateral faces. The cross-section of a rectangular prism is always rectangular in shape, and all opposite faces of the prism are congruent to each other.

There are two main types of rectangular prisms. A right rectangular prism has faces that form 90-degree angles with the bases, making all faces perfectly rectangular in shape. In contrast, a non-right (oblique) rectangular prism has faces that are not at right angles to the bases, causing the lateral faces to appear more like parallelograms than perfect rectangles.

Examples of Rectangular Prism Example 1: Finding the Volume of a Rectangular Prism Problem:

Find the volume of a right rectangular prism whose length = 8 cm, width = 5 cm, and height = 16 cm.

Rectangular Prism

Step-by-step solution:

Step 1, Remember the formula for the volume of a rectangular prism.

The volume equals length × width × height.

Step 2, Put the given values into the formula.

Volume = length × width × height = 8 × 5 × 16.

Step 3, Multiply all the numbers together.

Volume = 8 × 5 × 16 = 40 × 16 = 640 cm³. Example 2: Calculating the Total Surface Area Problem:

What is the total surface area of a right rectangular prism with length = 5 feet, width = 4 feet, and height = 6 feet?

Rectangular Prism

Step-by-step solution:

Step 1, Recall the formula for total surface area of a rectangular prism.

Total surface area = 2 × [(width × length) + (length × height) + (width × height)].

Step 2, Put the values into the formula.

Total surface area = 2 × [(4 × 5) + (5 × 6) + (4 × 6)]

Step 3, Calculate each part inside the brackets.

Total surface area = 2 × [20 + 30 + 24]

Step 4, Add the values inside the brackets.

Total surface area = 2 × 74 = 148 ft² Example 3: Finding the Volume with Decimal Dimensions Problem:

The dimensions of a rectangular prism are length = 2.5 cm, width = 4.5 cm, and height = 1.5 cm. Find the volume.

Rectangular Prism

Step-by-step solution:

Step 1, Remember the volume formula for a rectangular prism.

Volume = length × width × height.

Step 2, Put the given decimal values into the formula.

Volume = 2.5 × 4.5 × 1.5

Step 3, Multiply all the numbers carefully.

First, multiply 2.5 × 4.5 = 11.25 Then, multiply 11.25 × 1.5 = 16.875

Step 4, Write the final answer with the correct unit.

Volume = 16.875 cm³ Comments(5)CCricketPlayerRyanNovember 5, 2025This glossary page on rectangular prisms is great! I've used it to teach my students, and the examples made the concepts really easy to grasp.

MCMs. CarterSeptember 17, 2025I used the rectangular prism examples from this page to help my son with his math homework, and it made a huge difference! The step-by-step explanations are super clear. Definitely bookmarking this for future lessons!

MCMs. CarterSeptember 10, 2025I used the rectangular prism definition and examples on this page to help my son with his math homework—it’s so clear and easy to follow! The step-by-step volume guide was a lifesaver.

NNatureLover2025August 26, 2025I used this rectangular prism definition and examples to help my kids with their geometry homework, and it made a huge difference! The step-by-step volume calculation was super clear. Thanks for making math easier to understand!

MCMs. CarterAugust 6, 2025This rectangular prism definition and examples were a lifesaver for my kid's math homework! The step-by-step volume and surface area explanations made it so easy to understand. Thanks for breaking it down so clearly!

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