Volume

The number of units to fill its container is called its volume. For our Geometry Formulas Gateway, we had to know how to find the volume of a prism, cylinder, pyramid, cone, and sphere. The easiest way to find the volume of these figures, is to just memorize their formulas. Hopefully, this blog will help with learning how to find volume.

Finding the volume for rectangular prisms, such as the two examples below, can be found by simply multiplying the dimensions of their length, width, and height.

The volume of any prism can be found in a similar way compared to that of finding the volume of a rectangular prism. You have to find the area of the base first, and then multiply it by its height. I made up an example, which is shown below.

The formula for finding the volume of a cylinder is the same as that of finding the volume of a prism. This problem also takes a couple of steps. First, you have to use the area of a circle formula to find the area of the base. Then, you multiply that answer by its height. There is an example to explain this better, that I made below.

The formula for finding the volume of a pyramid is similar to finding that of a prism and cylinder. You multiply the area of the base by its height just like the formula for the volume of a prism and cylinder. Then, you have to multiply by 1/3. This type of problem also consists of multiple steps. I made another example, below.

The formula for calculating the volume of a cone is the same as that of a pyramid. You have to use the area formula of a circle to calculate the area of the base. Then you just simply multiply that by its height and 1/3.

All that is needed to calculate the volume of a sphere is the sphere's radius. Then, you just plug in the sphere's radius in the formula. I made up another example problem below.

Hopefully, this post helped with how to find volume. It's easiest if you just memorize the formulas for each figure, but they are all kind of similar. I found a website that also might be useful that covers the same information I just went over.