What is Volume? Meaning Volume Formula Examples

It is also known as the capacity of the object. The cube of side 4 units is made up of 64 unit cubes. The simplest and most common type of three-dimensional shape is a sphere. Some examples of spheres that we see in daily life includes balls, globes, decorative lights, oranges, etc. The simplest measurement that can be made on a sphere is its radius.

Volume Measurement

The volume of liquid that is displaced will therefore be the required volume of the irregular solid. The said volume can be determined by pouring this displaced water into a container of regular shape, and it can be measured up. Solids that do not have definite shapes or measurements are called irregular solids. Such solids do not usually have fixed formulas that can be used to determine their volumes. However, there are different ways to obtain such volumes, one of which is the liquid displacement method, which is based on the Archimedes Principle.

• If we stack them one on top of the other up to height ‘h’, we get a cuboid of dimensions l, b, h.
• But for curved shapes like cones, cylinders and spheres, we have to consider the dimensions of their curved surface as well, such as radius or diameter.
• For example, the volume of a compass box is greater than the volume of an eraser placed inside it.
• The volume of a cylinder is calculated by measuring the radius of the base and the height.

For all these shapes, we are going to learn to find the volume. Volume is defined as the three-dimensional space what is the definition of volume occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m3), but many units exist. A cube is a solid three-dimensional figure, which has 6 square faces or sides.

Which of the following is the formula for the volume of a book with the dimensions l, b, and h?

Volume is defined as the amount of space occupied by an object that is bound by a boundary. It must be noted that the volume is a mathematical term that is only applicable to 3D (three-dimensional) objects or spaces. As such, the units commonly used for volume are cubic units, that is, m3, cm3, in3, etc. Area is measured in square units like square inches, square yards, etc.

Measuring Volume of Liquids, Solids, and Gases

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. Perimeter is the length of the boundary of a two dimensional shape whereas Area is the space occupied by a two dimensional shape or object. Check out the articles related to the volume of different solid shapes. Given below is a detailed tabular list of volume formulas in a nutshell describing volume formulas for all the possible 3-D (solid) shapes.

Volume refers to the three-dimensional space inside an object, while capacity specifically refers to the amount a container can hold. Since a ball is a sphere, its volume will be calculated using the formula for the volume of a sphere. The formula for the volume of a sphere is 4/3 πr³, where ‘r’ is the radius of the sphere. The capacity of a container is not necessarily the same as its volume. For example, a 500-ml beaker has a capacity of 500 milliliters, but you can fill the glassware past its mark.

A cube is a three dimensional solid with six square faces of the same length. The total space occupied by a cube is called its volume. If we have a cube, and we fill it with water, the amount of water that fits inside the cube is called its volume. Now take the object and dip it into the cylinder which is filled with water. You can see that the volume of the displaced object is noted. So that volume of the displaced water is equal to the volume of the object.

A cone is a three-dimensional shape with one circular base and one vertex (point) at the top. If you want to know how much space something takes up, you are just measuring the volume of the three-dimensional object. Let us now see what is volume and how is it calculated. The volume of a cone is 1/3rd of the volume of a cylinder with the same height and same base. The formula used to find the volume of a cone is 1/3 × π r² h; where ‘r’ is the radius and ‘h’ is the height of the cone. A cube has all its faces in square shape and a cuboid has rectangular faces.

Now, let us see the formulas of surface areas and volumes for different 3d-shapes. The short answer is that it is the quantity of three-dimensional space occupied by a liquid, solid, or gas. Common units used to express volume include liters, cubic meters, gallons, milliliters, teaspoons, and ounces, though many other units exist.

Volume is the amount of space occupied by a substance, while mass is the amount of matter it contains. The amount of mass per unit of volume is a sample’s density. This space occupied depends on the shape of the object.