Our Volume of a Cube Calculator is made so you can calculate the volume of any cube in the easiest way possible. You can be in elementary school or college, but still, this calculator can be useful for you because cubes are everywhere around us. Even if you have never had any contact with geometry, we are here to help you. So if you ever wondered how to find the volume of a cube or what the formulas are to do it, continue reading this essay!
Meanwhile, if you are interested in some more useful information or calculators, our site provides you with all of it. There is a related post where you can learn more about the ellipsoid and volume of the ellipsoid. Also learn more about Trapezoid and Area of Trapezoid with our related posts and calculate volume, area and height of this geometric shape.
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Cube – What is the Volume of a Cube?
You all probably know what a cube is. In geometry, it is defined as a three-dimensional solid object bounded by six square faces or sides with three meeting at each vertex. It has 12 edges, six faces, and eight vertices. Cube is a regular square prism in just three orientations and a trigonal trapezohedron in four orientations. It is one of the most used shapes in the world.
Most boxes have a cubical shape, and there is also the rubrics cube and many more. There is a shape named cuboid that generalizes the cube. The word cube came from the Latin word cubiculum and the verb cubare, translated as “to lie down.”
The volume of a cube is usually defined as the amount of three-dimensional space enclosed by the cube’s edges. If you ever wondered how to find the volume of a cube or how to use our cube volume calculator, continue reading! We have prepared all the formulas and examples you need.
Cube Properties
Cube is one of the most simple shapes we all learned about in school. Some of its most basic properties are:
- All cube faces have the same surface area
- All cube edges are the same length
- Cube is a rectangular prism
There are many more, but these can be important in further calculations. To learn more about cube and its properties, head to this related Cube Calculator.
In the next paragraph, we talk about finding the volume of a cube and mention its surface area.
How to Find Volume of a Cube?
Finding a cube’s volume is very easy. Unlike volume of a cone, sphere, or pyramid objects, these formulas are very easy. Our volume of a cube calculator will automatically calculate cubes surface area, its diagonal, and face diagonal.
The best thing about calculating the volume of a cube is that you only have to worry about one parameter. There is no height, width, or depth. The formula for calculating this is probably one of the easiest formulas in math. The result on our calculator can come out in cubic meters, cubic feet, yards, etc.
Volume of a Cube Formula
Now we will show you four important cube formulas. They are all very simple, and you should have no problem understanding them.
You are reading this text, so probably your biggest question is the formula to find the volume of a cube? With a cube, it is very simple. Its edges are the same length, so you do not have to worry about height or width. Knowing the length of a single edge is enough.
V=a^{3} After calculating the volume of a cube, you might wonder about its area. The surface area and volume are expressed in square or cubic meters, feet, inches, etc.
A=6 \cdot a^{2} The following two formulas are a bit more complicated but nothing scary. The formulas we are talking about are face diagonal and cube diagonal.
d=a \cdot \sqrt{3}f=a \cdot \sqrt{2}We think that these four are the only formulas you will ever need regarding cube. There is one more way to find the total surface that we will show you. In this formula, you will be using the cube diagonal that you already know how to calculate.
A=2 \cdot d^{2}Check out the next few paragraphs for tutorials on our volume calculator and an interesting calculator example.
Volume of a Cube Calculator – How to Use?
The use of our volume of a cube calculator is very easy. There is just one field that you need to fill in, and that is all. You type in the length of the edge of the desired cube in any unit and let our calculator do the magic.
Of course, you can even fill the result fields, and our calculator will give you the length of the edge. It is very simple, but we will still give you an example.
Volume of a Cube Calculator – Example
Here is a quick example, so you have a clear perspective on how our volume calculator works and the real answer to your questions. Imagine you are in math class, and your teacher brings out a cube whose length has an edge of 14 centimeters. The task is to calculate its volume, area, cube diagonal, and face diagonal without using any calculator. We will help you be the first to complete the task, and then you can share the result and contact the others.
Calculation
You read our part about the formulas, so you know it’s a piece of cake. Unlike cylinder, cone, sphere, or pyramid objects, these formulas are very easy. First, you square the number 14, and that is the area. After that, you cube it, and now you have the volume. The result for the area is 1,176 square centimeters, and the volume result is 2,744 cubic centimeters. Now on to the hard part.
d=a \cdot \sqrt{3}=14 \cdot \sqrt{3}=24,25f=a \cdot \sqrt{2}=14 \cdot \sqrt{2}=19,8As you can see in those equations, we use the most simple way to calculate both diagonals. First, we calculate the cube diagonal and then the face one. Now you have the solutions for both calculations but watch out. There is another task that is a bit harder.
Another example
Now the teacher brings up another cube. She says that this rectangular prism has a cube diagonal 8 cm long. The task is to calculate the total surface of this cube. We use the simple formula shown in the paragraph above and get this task done! But, all of this could be done much more easily if you used our volume of a cube calculator.
A=2\cdot d^{2}=2\cdot8^{2}=2\cdot64=128
FAQ
How to find the volume of a cube?
The volume of a cube formula is probably one of the easiest formulas in math. You cube the length of the cube’s edge, and that’s it. The best thing about calculating the volume of a cube is that you only have to worry about one length. Unlike cylinder, cone, sphere, or pyramid objects, these calculations are very easy. There is no depth, width, or height. You can do all of this on our volume of a cube calculator.
What is the length of a cube with a volume of 8?
The edges of a cube with a volume of 8 are 2 cm long. A cube with these proportions also has a total surface area of 24 square cm.
How to find the volume of a 2 cm cube?
If you want to find the volume of a cube whose edges are 2 cm long, you cube that number. The result will come out to 8 cubic cm.
What is the volume of a cube 3x3x3?
The best thing about the cube is that you do not have to worry about all these dimensions. Instead, multiply all these numbers by each other or cube the number 3. Either way, the result comes out to 27.
What is the volume of a 9-inch cube?
A cube whose edges have a length of 9 inches has a volume of 44,48 cubic inches. The easiest way to do this calculation is by using our Volume of a Cube Calculator.
