Volume of a box
Length (l)
Width (w)
Height (h)
Rectangular prism volume
cu in

Volume of a Rectangular Prism Calculator

By Hanna Pamuła, PhD candidate

With this volume of a rectangular prism calculator - a.k.a. a box volume calculator - you'll find the volume of any box-shaped container in a blink of an eye. No fuss required. You need to enter only three values, and we'll calculate the volume for you (though it's not so tricky, you could figure it yourself😊). If you're searching for the definition, check the section What is a rectangular prism. However, if you're still wondering how to find the volume of a rectangular prism, we'll show you step-by-step how to use our calculator on an (almost) real-life example - the volume of a cat 🐈.

What is a rectangular prism?

A rectangular prism is a 3D shape with 6 faces, all of which are rectangles. Other names for a rectangular prism are a cuboid, or simply a box.

Volume of a box

Every rectangular prism has:

  • 8 vertices;
  • 12 sides; and
  • 6 sides.

Volume of a rectangular prism formula

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together:

Rectangular prism volume = length * width * height

Where can you use this formula in real life? Let's imagine three possible scenarios:

  1. You bought a fish tank for your golden fish🐠. It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If you're wondering how much water you need to fill it, simply use the volume of a rectangular prism formula.

  2. The time has come - you've decided that this year you'd like to grow your own carrots🥕 and salad🥗. For that, you need to construct a raised bed and fill it with the potting soil. But how much dirt should you buy? Well, that's the same question as how to find the volume of a rectangular prism: measure your raised bed, use the formula, and run to the gardening center.

  3. You are going on the vacations of your dreams 🌴. You have to pack your stuff for the three weeks, and you're wondering which suitcase🧳 will fit more in:

  • your good old large suitcase, 30 x 19 x 11 inches,
  • or the new fancy one, 28 x 21 x 12 cm

That's again the problem solved by volume of a rectangular prism formula. Solve it manually, or find it using our calculator.

If you're searching for a calculator for other 3D shapes - like e.g. a cube, which is a special case of a rectangular prism - you may want to check out our comprehensive volume tool. It has a gazillion different shapes! (Fourteen, to be exact.)

How to find the volume of a rectangular prism?

Well, now that you know what a rectangular prism is, and its volume formula, all the calculations should be a piece of cake! Just measure the three dimensions of your rectangular prism, and use the method from the previous paragraph. Alternatively, you can simply use our box volume calculator.

Cat in a transparent box

So, let's have a look at the example - let's calculate the volume of a cat🐈. Yes, a cat, as cats are almost like liquids (they take on the shape of whatever container they are in). Assuming that the cat completely fills a plastic container with dimensions 12 inches x 10 inches x 8 inches:

  1. Input the container's length into the first field of the box volume calculator. It's 12 inches in our case.
  2. Enter the width of the box. Put 10 inches into the proper field.
  3. Finally, input the height of your container, 8 inches.
  4. And there it is: the volume of a rectangular prism calculator did the job. Now we know that our cat's volume is 960 cubic inches. Isn't that pawesome?🐾

(Of course, it's a really rough estimate. Take it with a pinch of salt 🧂 or even two pinches.)

So, now that you know your cat's volume, you can go and search for a perfect cardboard box📦 for your pet!

Cat in a cardboard box. cat.rar
Hanna Pamuła, PhD candidate

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Volume of a Rectangular Prism Calculator and Formula