What is Volume? Meaning Volume Formula Examples

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. Hence, we can see here the unit of volume of cuboid is measured in cubic centimeters. Because gases fill their containers, their volume is the same as the internal volume of the container. Liquids are commonly measured using containers, where the volume is marked or else is the internal shape of the container.

Capacity in Relation to Volume

The volume of a cube will be the total space occupied by it. Since all the faces of the cube are square in the shape, hence, the length of edges will also be equal. Therefore, the length, width and height of the cube are of equal length. The area and volume formulas for different two-dimensional and three-dimensional shapes are listed in the tables given below. Calculating area and volume becomes easier once you know the required dimensions.

Volume Of Cube

For example, the volume of a compass box is greater than the volume of an eraser placed inside it. For calculating the area of any two-dimensional shape, we divide the portion into equal square units. Similarly, while calculating the volume of solid shapes we will divide it into equal cubical units.

Practice Questions on Surface Areas and Volumes

Every object in our surroundings has a nature of occupying space. These real-life objects can be easily compared with the basic 3-D shapes. Let us have a look at the volume of these solid shapes in detail.

Now that we are familiar with the formulas of various geometric shapes, let’s take a look at the different units of volume. The volume of the cube will be equal to the number of unit cubes that make up the cube. Volume is the quantity that all three-dimensional object has. Curved surface area refers to the area of only the curved part of the shape excluding its base(s). It is also referred to as lateral surface area for shapes such as a cylinder.

To sum up, the capacity of an object to occupy three-dimensional space is known as its volume. The volume of certain regular objects is generally formulated as the product of the base and height of the objects. However, not all volumes of regular objects can be calculated in this manner. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Each shape has its surface area as well as volume.

The volume of a cube is a measure of the space occupied by the air inside it. The room of a building or home can be a cube shaped. The space inside it, where we live and work, is its volume. If you are interested in more simple and concise resources on cubes or other math topics like what is a cube?

• If we know the edge length i.e. “a”, then we can find the volume of the cube.
• The jar has the capacity of holding 2.5 litres of water while the capacity of the bucket is to hold 5 litres of water.
• As we know the jar holds 2.5 litres of water whereas the bucket can hold 5 litres of water.

In this article, we will discuss the definition and formula of volume of a cube along with examples. Volume refers to the amount of space occupied by a three-dimensional object. Volume is the amount of space that a substance or object occupies, or that is enclosed within a container. Do you know how do you find the volume of the object using a measuring cylinder? So the vessel which holds more water has a greater volume than others. This means the first vessel has the greatest volume as compared to others.

List of Volume Formulas

Yes, a volume of rectangular prism is the same as a volume of cuboid. Its volume is calculated using the formula l x b x h, where l, b, and hare the different measurements of the shape. A cone is a three-dimensional shape that we commonly see around us. An ice-cream cone, a party hat, a funnel, or a Christmas tree, all of these are examples of a cone. A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

A volume is simply defined as the amount of what is the definition of volume space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. The next simple and common three-dimensional shape is the cube. It is identified by the unique property that each side of the cube is of the same length. Some everyday examples of objects in the shape of a cube are dice, Rubik’s cubes, sugar cubes, gift boxes, etc.

Examples of irregular solids can be stones, fruits, the human body, and other masses whose volume cannot be conventionally determined. Different geometric shapes have different volumes. The common 3D shapes that we come across in our daily lives are cubes, cuboids, spheres, cylinders, cones, etc. Let’s check our understanding by attempting practice exercises and solving examples.

Therefore, if we know the edge length of the cube, we can easily find its volume. Where ‘a’ is the length of the side of the cube or edges. Thus, the total volume of a cube with an edge of 2 cm is 8 cm3. Also find the definition and meaning for various math words from this math dictionary. A square with side 2 inches is cut out from a corner of a larger square sheet of side 6 inches. Find the area of a triangle with base 3 feet and height 6 feet.