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Cuboid Volume Calculator

Created by Adena Benn
Reviewed by Krishna Nelaturu
Last updated: Jan 18, 2024

Are you struggling in math and need help calculating the volume of a cuboid? Do you know the volume but need help finding the measurement of one of the edges? You have come to the right place. Our cuboid volume calculator is easy to use and has a great deal of information that will help you in Mathematics.

This article covers:

  • Definition of a cuboid;
  • The volume of a cuboid formula;
  • How to calculate the volume of a cuboid;
  • The number of vertices and edges a cuboid has; and more.

Definition of a cuboid

A cuboid is a three-dimensional shape that has much in common with your average box 📦. It has six rectangular surfaces. Its height, width, and length have different measurements.

🙋 Have you ever wondered how many edges a cuboid has? A cuboid has twelve edges, six faces, and eight vertices.

How to use our cuboid volume calculator

To use our cuboid volume calculator, you simply need to enter the length, width, and height of the given cuboid, and the volume will be calculated for you in real-time.

Additionally, you may also enter two of these measurements (say the length and height) along with the volume, and our calculator will calculate the measurement for the unknown side.

As a bonus, our calculator also gives you the diagonal of the cuboid.

How to find the volume of a cuboid

To find the volume of a cuboid, you first need to know the length (l), width(w), and height (h) of the cuboid. We use the following volume of a cuboid formula to calculate the volume of a cuboid:

volume=l×w×h\small \text{volume} = l × w × h

So if you are given the problem:
Find the volume of a cuboid-shaped box whose height, length, and width are 8, 9, and 7 cm, respectively, and calculate the volume.

We begin by substituting the values above:

volume=8×9×7 cm=504 cm3\small \begin{align*} \text{volume} &= 8 × 9 × 7 \text{ cm}\\[.5em] &= 504 \text{ cm}^3 \end{align*}

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How do I find the volume of a cuboid using its length height and width?

To find the volume of a cuboid from its length, height, and width, we need to:

  1. Get the formula for calculating the volume of a cuboid:
    volume = l × w × h
  2. Substitute the values for length, width, and height, say 5, 4, and 6, respectively.
    volume = 5 × 4 × 6
  3. Work out the volume:
    volume = 120

How do I find the height of a cuboid from the length, width and volume?

Assuming the cuboid's length, width, and volume are 9, 8, and 360 inches, respectively.

  1. Using the cuboid volume formula:
    volume = l × w × h cube units

  2. Make h the subject of the formula:
    h = volume/(l × w) cube units

  3. Substitute the given values:
    h = 360/(9 × 8) in3

  4. Solve the equation:
    h = 6 in3

Adena Benn
image of a rectangular prism, with length, height, width and diagonal marked
Length (l)
Width (w)
Height (h)
cu in
Diagonal (d)
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