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Last updated on June 24th, 2025

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Rectangular Prism Calculator

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A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving geometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Rectangular Prism Calculator.

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What is the Rectangular Prism Calculator

The Rectangular Prism Calculator is a tool designed for calculating the volume of a rectangular prism.

 

A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles. The length, width, and height are the dimensions of the prism.

 

The volume of a rectangular prism is found by multiplying its length, width, and height.

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How to Use the Rectangular Prism Calculator

For calculating the volume of a rectangular prism using the calculator, follow the steps below -

 

Step 1: Input: Enter the length, width, and height.

 

Step 2: Click: Calculate Volume. By doing so, the dimensions provided will be processed.

 

Step 3: You will see the volume of the rectangular prism in the output column.

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Tips and Tricks for Using the Rectangular Prism Calculator

Mentioned below are some tips to help you get the right answer using the Rectangular Prism Calculator.

 

Know the formula:

 

The formula for the volume of a rectangular prism is ‘V = lwh’, where ‘l’ is the length, ‘w’ is the width, and ‘h’ is the height.

 

Use the Right Units:

 

Ensure all dimensions are in the same units, like centimeters or meters. The answer will be in cubic units (like cubic centimeters or cubic meters), so it’s important to match them.

 

Enter Correct Numbers:

 

When entering the dimensions, make sure the numbers are accurate. Small mistakes can lead to big differences, especially with larger numbers.

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Common Mistakes and How to Avoid Them When Using the Rectangular Prism Calculator

Calculators mostly help us with quick solutions. For calculating complex math questions, students must know the intricate features of a calculator. Given below are some common mistakes and solutions to tackle these mistakes.

Mistake 1

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Rounding off too soon

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Rounding the decimal number too soon can lead to wrong results. For example, if the volume is 156.78 cm³, don’t round it to 157 right away. Finish the calculation first.

Mistake 2

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Entering the wrong number as a dimension

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Make sure to double-check the numbers you enter for the dimensions. If you enter the length as ‘5’ instead of ‘6’, the result will be incorrect.

Mistake 3

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Mixing up the formula

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Ensure you're using the correct formula: V = lwh. Mixing up the dimensions or using the wrong formula will give the wrong result.

Mistake 4

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Relying too much on the calculator

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The calculator gives an estimate. Real objects may not be perfect, so the answer might be slightly different. Keep in mind that it's an approximation.

Mistake 5

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Mixing up the positive and negative signs

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Always check that you’ve entered the correct positive (+) or negative (–) signs. A small mistake, like using the wrong sign for one of the dimensions, can completely change the result. Make sure the signs are correct before finishing your calculation. For example, if the length is 10 cm, entering -10 cm instead of +10 cm could give you an incorrect volume.

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Rectangular Prism Calculator Examples

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Problem 1

Help Emily find the volume of a storage box with dimensions 5 cm by 4 cm by 3 cm.

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We find the volume of the storage box to be 60 cm³.

Explanation

To find the volume, we use the formula: V = lwh

 

Here, the values are given as l=5, w=4, and h=3.

 

Now, we have to substitute the values in the formula: V = lwh = 5 × 4 × 3 = 60 cm³

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Problem 2

A rectangular tank has dimensions of 10 cm by 6 cm by 8 cm. What will be its volume?

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The volume is 480 cm³.

Explanation

To find the volume, we use the formula: V = lwh

 

Since the dimensions are given as l=10, w=6, and h=8,

 

we can find the volume as V = lwh = 10 × 6 × 8 = 480 cm³

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Problem 3

Find the volume of a rectangular prism with dimensions 7 cm, 5 cm, and 2 cm. Also, find the volume of another prism with dimensions 4 cm, 3 cm, and 6 cm. After finding their volumes, take their sum.

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We will get the sum as 218 cm³.

Explanation

For the volume of each rectangular prism, we use the formula ‘V = lwh’.

 

Volume of the first prism = 7 × 5 × 2 = 70 cm³

 

Volume of the second prism = 4 × 3 × 6 = 72 cm³

 

The sum of the volumes = volume of the first prism + volume of the second prism = 70 + 72 = 142 cm³

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Problem 4

The dimensions of a gift box are 12 cm by 7 cm by 4 cm. Find its volume.

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We find the volume of the gift box to be 336 cm³.

Explanation

Volume = lwh = 12 × 7 × 4 = 336 cm³

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Problem 5

Michael wants to build a planter box with dimensions 15 cm by 10 cm by 5 cm. Help Michael find its volume.

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The volume of the planter box is 750 cm³.

Explanation

Volume of the planter box = lwh = 15 × 10 × 5 = 750 cm³

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FAQs on Using the Rectangular Prism Calculator

1.What is the volume of a rectangular prism?

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2.What happens if one of the dimensions is entered as ‘0’?

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3.What will be the volume if the dimensions are 2 cm, 3 cm, and 4 cm?

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4.What units are used to represent the volume?

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5.Can we use this calculator to find the volume of other shapes?

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Important Glossary for the Rectangular Prism Calculator

  • Volume: It is the amount of space occupied by any object. It is measured either in cubic meters (m³) or cubic centimeters (cm³).

 

  • Length: One of the dimensions of a rectangular prism, measuring how long it is.

 

  • Width: One of the dimensions of a rectangular prism, measuring how wide it is.

 

  • Height: One of the dimensions of a rectangular prism, measuring how tall it is.

 

  • Cubic Units: Units used to measure volume. We use m³ and cm³ to represent the volume.
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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