How to calculate the volume of solids

Volume is the space occupied by a given object. The volume is measured in cubic units. For example, we can say that a cube is 64 cubic cm. The basic unit of volume is the cubic meter. There is equivalence between the volume of an object and its capacity. The simplest method used to equate volume capacity is 1 cubic decimeter = 1 liter. 

To calculate the volume of an object, you must use three dimensions: length, width and height. To help you study maths, here you can know the formulas for calculating the volume of various geometric solids. Just click in the following links:

How to calculate the volume of solids:

• How to calculate the volume of a pyramid
• How to find the volume of a cone
• How to find volume of a cylinder
• How to find the volume of a parallelepiped
• How to find volume of a cube

How to calculate the volume of a pyramid

The pyramid is one of the most popular geometric solids, mainly due to the egyptian pyramids, used as funerary structures of the ancient Pharaohs of Egypt. Here you will learn how to calculate the volume of a pyramid.

Photo by Ricardo Liberato

The volume of a pyramid equals the space that that pyramid occupies. To help you study maths, here you'll learn how to calculate the volume of a pyramid .

To calculate the volume of a pyramid, you have to know the area of the base and the height of the pyramid. The volume of a pyramid is the product between a third of the base area and the height of the pyramid.

You must remember that there are pyramids with various base. Thus, the formula for calculating the base area changes in accordance with the base of the pyramid. For example, if you have a quadrangular pyramid, the base area is calculated by multiplying the length by the width, but if you have a triangular pyramid, the base area results from half the product of the length and height.

image of solid geometric pyramid : Andrew Kepert

How to find the volume of a cone

The volume of a cone is equal to the space that cone occupies. To help you study maths, here you'll learn how to find the volume of a cone.

The volume of a cone its equal to one third of the volume of the cylinder. So, you just multiply the volume of a cylinder by a third. To find the volume of a cone, you have to know the radius of the base (circle) and the height of the cone. The volume of a cone is the one-third of the product of the area of the base with the height of the cone. 

Do not forget that: 

- The most used rounded value of Pi is 3.14 

- Diameter = 2 x radius

How to find volume of a cylinder

The volume of a cylinder its the space that the cylinder occupies. To help you study maths, here you'll learn how to find volume of a cylinder. 

To find volume of a cylinder, you have to know the radius of the base (circle) and the height of the cylinder. The volume of a cylinder is the product of the base area with the height of the cylinder.

Do not forget that: 

- The most used rounded value of Pi is 3.14 

- Diameter = 2 x radius


Hope that this was helpfull to you learn how to find volume of a cylinder and to you study maths.

How to find the volume of a parallelepiped

The volume of a parallelepiped is the space that the parallelepiped occupies. To help you study maths, we'll explain how to find the volume of a parallelepiped. 

To calculate the volume of the parallelepiped, you'll need to know the length and width of the base and the height of the solid. Thus, the volume of a parallelepiped is the product of the base area with the height of the solid. Then:

w – widht

l – lenght

h - height

We hope that this article was helpfull to you learn how to find the volume of a parallelepiped, and to you study maths.

How to find volume of a cube

The volume of a cube is the space that the cube occupies. To help you study maths, we'll explain how to find volume of a cube. 

The cube is a geometric solid in which all edges have the same measure. Width, lenght and height have all the same measure. Thus, as the volume of an object is calculated by the product of the length and the width and height, then:

a - edge

Hope that this was helpfull to you learn how to find volume of a cube and to you study maths.