Find the volume of shapes Math Quiz Online
Learn to find volume of shapes
When we talk about the volume of a shape, we’re talking about the amount of space that the shape takes up. There are all sorts of different ways to find the volume of different shapes, but we’ll start by talking about how to find the volume of some basic shapes that you might have come across in school.
One of the most basic shapes is the cube. A cube is a three-dimensional shape that looks like a square, but with sides that are all the same length. To find the volume of a cube, you just need to know the length of one of its sides. Let’s say the length of one side of the cube is “s.” To find the volume of the cube, you just need to multiply the length of one side by itself twice:
Volume = s x s x s
So if the length of one side of the cube is 2, the volume would be:
Volume = 2 x 2 x 2 Volume = 8
The volume of a cube is always measured in cubic units. So in this case, the volume of the cube is 8 cubic units.
Another shape that you might come across is the rectangular prism. A rectangular prism is a three-dimensional shape that looks like a rectangular box. To find the volume of a rectangular prism, you just need to know the length, width, and height of the prism. Let’s say the length is “l,” the width is “w,” and the height is “h.” To find the volume of the rectangular prism, you just need to multiply all three numbers together:
Volume = l x w x h
So if the length of the rectangular prism is 3, the width is 4, and the height is 5, the volume would be:
Volume = 3 x 4 x 5 Volume = 60
The volume of a rectangular prism is also measured in cubic units. So in this case, the volume of the rectangular prism is 60 cubic units.
Another shape that you might come across is the cylinder. A cylinder is a three-dimensional shape that looks like a tube or a can. To find the volume of a cylinder, you just need to know the radius of the circular base (the distance from the center of the circle to the edge) and the height of the cylinder. Let’s say the radius is “r” and the height is “h.” To find the volume of the cylinder, you need to multiply the area of the circular base by the height:
Volume = π x r^2 x h
So if the radius of the cylinder is 2 and the height is 5, the volume would be:
Volume = π x 2^2 x 5 Volume = 20π
The volume of a cylinder is also measured in cubic units. So in this case, the volume of the cylinder is about 25.1 cubic units.
These are just a few examples of how you can find the volume of different shapes. There are lots of other shapes out there, and each one has its own formula for finding the volume. But once you understand the basic concepts, it’s not too hard to figure out how to find the volume of other shapes as well. Just remember to always think about the three dimensions (length, width, and height) and how they relate to each other, and you’ll be well on your way to solving all sorts of volume problems!