Volume of rectangular prisms helps us measure how much space...
Calculating the Volume of Rectangular Prisms

Volume of Rectangular Prisms
Ever wonder how much water a fish tank holds or how much space is inside a shoebox? That's where volume comes in! The volume of a rectangular prism tells us the total space inside it.
The formula for finding volume is V = Bh, where V stands for volume, B represents the area of the base, and h is the height of the prism. For rectangular prisms specifically, since the base is a rectangle, we can expand this to V = lwh (length × width × height).
When calculating volume, you can multiply the dimensions in any order - the result stays the same. Just remember that your final answer will always be in cubic units (cm³, in³, ft³, etc.) because you're measuring three-dimensional space.
Quick Tip: Think of volume as counting how many small cubes would fit inside your rectangular prism. If each dimension is 1 unit, then each small cube is 1 cubic unit.
Let's look at an example: For a rectangular prism with length = 7 cm, width = 5 cm, and height = 3 cm, we calculate:
- V = l × w × h
- V = 7 × 5 × 3
- V = 105 cm³
This means our rectangular prism has a volume of 105 cubic centimeters.
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Calculating the Volume of Rectangular Prisms
Volume of rectangular prisms helps us measure how much space a 3D rectangular object takes up. Understanding this concept is essential for geometry and has real-world applications in packaging, construction, and determining how much stuff fits in containers.

Volume of Rectangular Prisms
Ever wonder how much water a fish tank holds or how much space is inside a shoebox? That's where volume comes in! The volume of a rectangular prism tells us the total space inside it.
The formula for finding volume is V = Bh, where V stands for volume, B represents the area of the base, and h is the height of the prism. For rectangular prisms specifically, since the base is a rectangle, we can expand this to V = lwh (length × width × height).
When calculating volume, you can multiply the dimensions in any order - the result stays the same. Just remember that your final answer will always be in cubic units (cm³, in³, ft³, etc.) because you're measuring three-dimensional space.
Quick Tip: Think of volume as counting how many small cubes would fit inside your rectangular prism. If each dimension is 1 unit, then each small cube is 1 cubic unit.
Let's look at an example: For a rectangular prism with length = 7 cm, width = 5 cm, and height = 3 cm, we calculate:
- V = l × w × h
- V = 7 × 5 × 3
- V = 105 cm³
This means our rectangular prism has a volume of 105 cubic centimeters.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content: Volume Formula
1Most popular content in Math (ACT®)
2Circle Geometry: Central and Inscribed Angles
Review key theorems relating central angles and inscribed angles to their intercepted arcs in circle geometry. Essential concepts for ACT Math prep.
ACT Formulas and Conversions
Learn essential math formulas and conversions for the ACT, including area, volume, perimeter, circumference, Pythagorean theorem, slope, midpoint, distance, and quadratic formula.
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Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
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Origins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
Motivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
Foundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
Introduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
Introduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
Introduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
Origins and Continuity of the Byzantine Empire
Analyze the political and cultural transitions from the Roman Empire to the Byzantine Empire, focusing on the reign of Justinian I and his code.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.