Volume of rectangular prisms helps us measure how much space...
Math (ACT®)67 views·Updated Jul 28, 2026·1 pageCalculating the Volume of Rectangular Prisms
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Monica Uranga@monicauranga_jmvw
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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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Math (ACT®)67 views·Updated Jul 28, 2026·1 pageCalculating the Volume of Rectangular Prisms
M
Monica Uranga@monicauranga_jmvw
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.
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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...
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.
You can download the app in the Google Play Store and in the Apple App Store.
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