This article was coauthored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.
There are 9 references cited in this article, which can be found at the bottom of the page.
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Whether you need to mail a package or pass you next test, finding the volume of a box is easy. Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.
Steps
Method 1
Method 1 of 2:Calculating the Volume of Rectangular Boxes

1Understand the volume of a rectangle equals it's length x width x height. If your box is a rectangular prism or a cube, the only information you need is the box's length, width, and height. You can then multiply them together to get volume. This formula is often abbreviated as V = l x w x h.^{[1] X Research source }
 Sample Question: "If I have a box with a length of 10cm, width of 4cm, and height of 5cm, what is the volume of the box?"
 V = l x w x h
 V = 10cm x 4cm x 5cm
 V = 200cm^{3}
 "Height" may be replaced with "depth." For example, "The box has a length of 10cm, width of 4cm, and is 5cm deep."^{[2] X Research source }

2Measure the length of a box. If your are looking down at your box, the top appears to be a flat rectangle/The length the longest side of this rectangle. Write this number down as "length."^{[3] X Research source }
 Make sure you use the same measurement for each side  if you measure one side in inches, you need to measure them all in inches.
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3Measure the width of the box next to the length. The width of the box is the other edge next to the length. If you are looking one side of the box, the width is the side the forms an "L" with the length. Write down this measurement as "width."^{[4] X Research source }
 The width is always the shorter side.

4Measure the height of the box. This is the last side you have not measured, and is the distance from the top of the box to the ground. Write this measurement down as "height."
 Depending on how the box is laying, which side you call "height" or "length" might be different. However, it doesn't matter what side you call the length, just that you measure 3 different sides.

5Multiply the three sides together. Remember, the equation for volume is V = length x width x height, so simply multiply all three sides together to get your volume. Be sure to include the units you used to measure with as well, so you don't forget what your numbers mean.^{[5] X Research source }EXPERT TIPMath Instructor, City College of San FranciscoGrace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.Grace Imson, MA
Math Instructor, City College of San FranciscoMake sure all of the units are the same before multiplying. Tricky math problems will give a different unit of measurement for the length, width, and height of a box. You cannot multiply the dimensions to find the volume until all the dimensions are in the same unit.

6Add the "units^{3}" to your volume. Volume is a measurement, but if you don't know what the measuring system your number will be meaningless. The correct way write out volume is with your type of measurement cubed. For example, if I measured all the sides in inches, my final answer would be in "inches^{3}." For example.^{[6] X Research source }
 Sample Question: "If I have a box with a length of 2 feet, width of 1 foot, and height of 4 feet what is the volume of the box?"
 V = l x w x h
 V = 2ft x 1ft x 4ft
 Volume = 8ft^{3}
 Advanced Note:' This is because volume tell you how many small cubes you could fit in the box. In the previous example, this means we could fit eight separate 1 foot cubes in our box.
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Method 2
Method 2 of 2:Calculating Different Shaped Boxes

1Find the volume of cylinders. Cylinders are tubes, where the top and bottom are circles. To find volume of a cylinder, use the equation V = pi x r^{2} x h. Where pi = 3.14, r is the radius of the top circle, and h is the height.^{[7] X Research source }
 To find the volume of a cone, or pyramid with a circle for the bottom, use the same equation time 1/3. So, Volume of a Cone = 1/3(pi x r^{2} x h)

2Find the volume of a pyramid. Pyramids have one side, or base, and all of the other sides comes to a point. To find volume, multiply the area of the base by the height, and then multiply that by the fraction 1/3. Thus, Volume of a Pyramid = 1/3(base x height).^{[8] X Research source }
 Most pyramids have square or rectangular bases. The area of a base is found by multiplying the length of the base by the width.

3Add the volume of the parts together to find the volume of complicated shapes. For example, if I need to find the volume of an "L" shaped box, there are more than three sides to measure. If you view the box as two smaller boxes, however, you can find the volume of each smaller box and add them together to get the final volume. With our "L" shaped box, for example, we can view the vertical line as a rectangular box and the bottom horizontal line as a square box.^{[9] X Research source }
 Thought it becomes complicated, there are many ways to find the volume for any shape.
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Community Q&A

QuestionHow do I tell how many bottles I can put on a tray?DonaganTop AnswererAssuming identical, cylindrical bottles and a square or rectangular tray: Divide the diameter of a bottle into the length of the tray. That's how many bottles you can fit in one direction. Divide the diameter into the width of the tray. That's how many bottles you can fit in the other direction. Multiply the two numbers together to get the total number of bottles that will fit.

QuestionIs it possible to find the volume of a rectangular prism without the depth?DonaganTop AnswererNo. The volume is calculated by multiplying the depth (height) by the area of the base.

QuestionHow do I convert cubic centimeters into liters?DonaganTop AnswererThere are 1,000 cubic centimeters in one liter. To convert cubic centimeters to liters, divide the number of cubic centimeters by 1,000.

QuestionHow do I find the volume of a box in cubic feet?Community AnswerConvert any measurements you have into feet, then find the volume of a box in cubic feet the same way you would for any other unit of measurement.

QuestionI got 26 boxes of flooring; each box has 14 square feet in it. The length of my floor is 357 inches, the width is 142 inches. Do I have enough to cover floor?DonaganTop Answerer26 x 14 = 364 square feet of flooring material. 357 x 142 = 50,694 square inches. Divide by 144 to get 352.04 square feet. Theoretically you do have enough flooring, but with waste, it would be close!

QuestionHow do I find the length, width, and height if I'm given the total amount?DonaganTop AnswererIf that's all you're given, you can't find the other numbers.

QuestionHow do I calculate centimeters squared into grams?DonaganTop AnswererOne does not convert to the other. Cm² is a unit of volume. Gram is a unit of weight.

QuestionHow do I change total volume to square feet?Community AnswerYou can't.

Question6912 cubic inches equals how many gallons?DonaganTop AnswererMultiply by 0.004329.

QuestionHow do I calculate the height of a cuboid?Community AnswerDivide the width by the height.
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References
 ↑ https://www.khanacademy.org/math/basicgeo/basicgeovolumesa/volumerectprism/a/volumeofrectangularprismsreview
 ↑ http://thinkmath.edc.org/resource/measurementlengthwidthheightdepth
 ↑ http://mathforum.org/library/drmath/view/57801.html
 ↑ https://sciencing.com/lengthwidthrectanglegivenarea8472576.html
 ↑ https://sciencing.com/calculateareaperimetervolume8465825.html
 ↑ https://www.mathopenref.com/cubevolume.html
 ↑ https://www.mathopenref.com/cylindervolume.html
 ↑ https://www.mathopenref.com/pyramidvolume.html
 ↑ https://www.skillsyouneed.com/num/volume.html
About This Article
To calculate the volume of a rectangular box, first measure its length, width, and height. Be sure to use the same units, like inches or centimeters, for all 3 measurements! Then, simply multiply the 3 measurements together using the formula Volume = Length × Width × Height. Finally, add the units cubed. For more on calculating the volume of a box, including a box that’s not rectangular, read on!
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"This article helped me tremendously with building a speaker cabinet. I have the woofer and other items that I needed to begin. Just had to know how to get the cabinet volume. It, the formula, made it very simple for me to calculate the measurements."..." more