Volume Of Cube

Volume Of Cube: Finding the volume of a cube is quite simple, and all you need to do is multiply length * width * height.

Note that volume also includes depth, so if the volume has an area with depth (a 3D volume), then take this volume and multiply it by depth (generally written as “z”) two times.

Volume Of Cube

Let’s look at a real-world scenario as an example: how would you find the volume of a CD-ROM case?

A cube is the volume equals length * width * height = 5 centimeters x 5 centimeters x 5 centimeters = 125 cubic centimeters.

Mobile phone cases happen to be another familiar shape that is a part of a cube – but more on that later.

More volume-related math, the volume of a rectangular prism = length * width * height, the volume of a cylinder = area of the base (pi times radius squared) times height, the volume of a cone = pi times radius squared x slant height.

There’s also volume related to finding the surface area, but we’ll cover that later on in another article it’s pretty complicated and requires calculus equations. For now, let’s focus on volume.

Moving on, how would you find the volume if this was not a cube? Well, I happen to have an image from Google Images from Wikipedia showing how they found the volume of a die.

A shape’s volume can be determined by treating volume as liquid volume and then measuring volume through volume displacement or volume with known liquid volume having an equal volume to liquid.

For example,

you could use water in a graduated cylinder that you measured beforehand. Also Read this: Explain RPM vs Angular Velocity

Fill up the container until it reaches that “level A” amount of liquid – this is already known volume and drop your object in there.

Once everything has settled down (this may take anywhere from five minutes to over an hour), pour out all the excess fluid until you are left at level B inside your container. This is where our object now sits.

Take note of how much was out, and voila!. The volume of a “die” is named the volume of a “sphere.”

You can find the volume for this shape by taking the volume of a sphere, which is four-thirds diameter times depth.

how would you find the volume

So let’s look at our example – how would you find the volume? Since it’s not cubic, you have to use your knowledge that this object has six sides.

The ‘radius’ or side length cannot be written as a whole number since it extends across all sides.

Multiply the radius by 6 to get an accurate number for volume rather than being fooled into thinking it’s just one side.

The formula becomes: 4/3 * 3 centimeters x 3 centimeters x 6 = 108 cubic centimeters.

This is one volume-related example; many more objects can be found in our everyday lives by volume displacements, such as a quart of milk or a soda can.

But the principle is always the same: measure volume and find out how much liquid volume is required to fill it up to that level, or use a container with already known volume to make everything easier.

And with that, we come to the end of this article on volume! I hope you have found it informative and helpful.

If you have any questions or comments, please feel free to leave them below, and I will get back to you as soon as possible. Thanks for reading!