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Volume Of Rectangular Prism – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Volume of Rectangular PrismVolume Of Rectangular Prism – Definition, ExamplesTable of ContentsVolume of a Rectangular Prism Definition of a Rectangular Prism

A rectangular prism is a three-dimensional shape with six rectangular faces, where all pairs of opposite faces are congruent. It is also known as a cuboid. In simple terms, a rectangular prism has four rectangular faces and two parallel rectangular bases. Examples of rectangular prisms are all around us - tissue boxes, cereal boxes, books, and laptops.

The volume of a rectangular prism is found by multiplying the base area by its height. Since the base of a rectangular prism is a rectangle, the volume formula becomes length × width × height (l×w×hl \times w \times hl×w×h). This formula allows us to calculate how much space the rectangular prism occupies or how much it can hold.

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

Find out the volume of a rectangular prism with base length 999 inches, base width 666 inches, and height 181818 inches, respectively.

Finding the Volume with Given Dimensions

Step-by-step solution:

Step 1, Identify the given measurements.

Length (lll) = 999 inches Width (www) = 666 inches Height (hhh) = 181818 inches

Step 2, Apply the volume formula: Volume = length × width × height.

Volume = 9×6×189 \times 6 \times 189×6×18

Step 3, Multiply the three numbers to find the volume.

Volume = 972972972 cubic inches Example 2: Finding the Height with Given Base Area and Volume Problem:

Find out the height of a rectangular prism whose base area is 202020 sq. units and a volume is 606060 cubic units.

Finding the Height with Given Base Area and Volume

Step-by-step solution:

Step 1, List what we know.

Base area = 202020 sq. units Volume = 606060 cubic units

Step 2, Use the relationship between volume, base area, and height.

Volume = base area × height 606060 = 202020 × height

Step 3, Solve for the height by dividing both sides by 202020.

Height = 60÷2060 ÷ 2060÷20 Height = 333 units Example 3: Finding the Base Width with Given Length, Height, and Volume Problem:

Find out the width and then calculate the base area of a rectangular prism with the help of the given measurements: length = 121212 inches, height = 202020 inches, and volume = 2,1602,1602,160 cubic inches.

Finding the Base Width with Given Length, Height, and Volume

Step-by-step solution:

Step 1, Organize the given information.

Length (lll) = 121212 inches Height (hhh) = 202020 inches Volume (VVV) = 2,1602,1602,160 cubic inches

Step 2, Use the volume formula and substitute the known values.

Volume = length × width × height 2,1602,1602,160 = 121212 × width × 202020

Step 3, Solve for the width by dividing both sides by (12×2012 × 2012×20).

Width = 2,160÷(12×20)2,160 ÷ (12 × 20)2,160÷(12×20) Width = 2,160÷2402,160 ÷ 2402,160÷240 Width = 999 inches

Step 4, Calculate the base area using the formula: Area = length × width.

Base area = 12×912 × 912×9 Base area = 108108108 sq. inches Comments(7)MMusicianJackNovember 5, 2025I've been using this to teach my students. The clear def and examples make learning the volume of rectangular prisms a breeze!

SSoftballDevoteeTheoNovember 4, 2025This glossary page on the volume of rectangular prism is great! It's helped my students grasp the concept easily. Thanks for the clear examples!

DDirectorFinnNovember 4, 2025I've used this page to teach volume of rectangular prisms. The examples are great! Really helped my students grasp the concept.

NNatureLover82September 16, 2025I’ve used the volume of rectangular prism examples with my kids, and it really helped them grasp the formula. The step-by-step explanations made it so easy to follow. Great resource!

MCMs. CarterSeptember 10, 2025I’ve used the Volume of Rectangular Prism page to help my kids with their math homework—it breaks everything down so clearly! The examples were a lifesaver for understanding the formula.

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