Cuboid Calculator

Q: What is a cuboid?

A cuboid is a three-dimensional shape that has six rectangular faces. A cuboid's length, width, and height are of different measurements. The corners of these faces form right angles. Cuboids have eight vertices and twelve edges.

Q: What is the difference between a cube and a cuboid?

The main difference between a cube and a cuboid is that the length, width, and height of a cube are of equal measurements. On the other hand, a cuboid has length, width, and height that are of different sizes.

Q: How do I calculate the volume of a cuboid?

To calculate the volume of a cuboid you need to: Get the length, width, and height. Put the dimensions into the formula: volume = (l × w × h) cubic unit. Do the calculation to find the answer.

Creators

Adena Benn

Website

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

Check our editorial policy

Reviewers

Aleksandra Zając, MD

Aleksandra Zając

Website

Aleksandra (Ola) Zając, MD, is a medical doctor with a passion for lifestyle medicine. She wants to never stop learning while sharing what she already knows as a health educator and prophylaxis popularizer. She mainly concentrates on how human lifestyle impacts their health and disease. After hours, she likes weightlifting, foreign affairs podcasts, learning Korean, and dogs (with a special affection for her own pup Zoja). See full profile

Check our editorial policy

Are you struggling with cuboid calculations? Our cuboid calculator is just the tool you need to help solve those math problems. Keep reading to learn:

What is a cuboid;
How to use our cuboid calculator;
The surface area and volume of a cuboid formula; and
How to manually calculate the surface area and volume of a cuboid.

What is a cuboid?

A cuboid is a three-dimensional shape that has six rectangular faces. A cuboid's length, width, and height are of different measurements. The corners of these faces form right angles. Cuboids have eight vertices and twelve edges.

How to use our cuboid calculator

Our cuboid calculator calculates the surface area of a cuboid as well as the volume. To calculate either of these two unknowns, you simply need to enter the length (l), width (w), and height (h) of the shape, and the result will be generated in real-time.

As a bonus, you will also be able to see the diagonal of the shape.

How to calculate the volume of a cuboid

To calculate the volume of a cuboid, we use the following formula:

\small \text {volume} = (l × w × h)\ \text{cubic units}

So if we have the following problem:
Find the volume of a cuboid whose length is 12 cm, width is 9 cm, and height is 10 cm.

Using the above formula, we can then say:

\small \text{volume} = (12 × 9 × 10)\ \text{cm}^3

\small \text{volume} = 1080\ \text{cm}^3

How to calculate the surface area of a cuboid

We calculate the surface area of a cuboid by finding the sum of the area of its six faces. To calculate the surface area of a cuboid (SAC), we use the following formula:

\small SAC = 2(lw + wh + lh)\ \text{sq units}

So if we need to find the total surface area of a cuboid whose length is 8 cm, width is 7 cm, and height is 6 cm, using the above, we begin by substituting the values:

\small \begin{align*} SAC &= 2((8 × 7 )+ (7 × 6) + (8 × 6))\ \text{cm}^2\\[.5em] &= 2(56+ 42 + 48)\ \text{cm}^2\\[.5em] &= 2(146)\ \text{cm}^2\\[.5em] &= 292\ \text{cm}^2\\[.5em] \end{align*}

Similar calculators?

Are you interested in other similar calculators? Be sure to check out the ones below:

FAQs

What is the difference between a cube and a cuboid?

The main difference between a cube and a cuboid is that the length, width, and height of a cube are of equal measurements. On the other hand, a cuboid has length, width, and height that are of different sizes.

How do I calculate the volume of a cuboid?

To calculate the volume of a cuboid you need to:

Get the length, width, and height.
Put the dimensions into the formula:
volume = (l × w × h) cubic unit.
Do the calculation to find the answer.