Cuboid Volume Calculator

Creators

Adena Benn

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Adena Benn is a Guyanese teacher with a degree in computer science who is always reading and learning. She loves problem-solving, everything tech, and working with teenagers. She has a passion for education and is especially interested in how children learn and the teaching methods that best suit their learning styles. She grew up on a farm in Pomeroon, Guyana, where she worked alongside her parents and siblings. As such, she is just as comfortable growing plants as teaching in the classroom. In her early life, she also gained expertise as a seamstress, which she learned from her mother. By grade 9, she had already acquired her dressmaker's certificate. Today she uses her skills to design many items for her family. In her free time, Adena loves to read, take long walks, write children’s stories and poetry, travel, or spend time with her family. See full profile

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Krishna Nelaturu

Krishna Sai is a mechanical engineer with a passion for math and physics. He creates calculators with the aim of helping students understand the mathematical concepts behind the calculation. With an interest in coding, Krishna has recently started learning programming and web development. He enjoys long walks, riding his motorcycle, and loves a good story. Someday, he aspires to write his own fantasy book. See full profile

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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:

\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:

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

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FAQs

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:

Get the formula for calculating the volume of a cuboid:

volume = l × w × h
Substitute the values for length, width, and height, say 5, 4, and 6, respectively.

volume = 5 × 4 × 6
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.

Using the cuboid volume formula:

volume = l × w × h cube units
Make h the subject of the formula:

h = volume/(l × w) cube units
Substitute the given values:

h = 360/(9 × 8) in³
Solve the equation:

h = 6 in³