It is true that both volume and area have a wide range of applications in everyday life. Despite the fact that we learn about area and volume at school, it is critical that we retain this knowledge for the remainder of our life. Both concepts are often misunderstood by the general public.
Despite the fact that volume and area seem to be almost same, this is not the case at all.
Area Vs. Volume
Because area refers to how much space an item occupies, volume refers to how much space an object holds. Shapes in the area are two-dimensional; those in the volume are three-dimensional. The capacity of a can, for example, is 5 liters, yet the can only covers 5 cm of the surface area.
While on a plane or flat surface, an object’s complete area is known as its perimeter. Objects with their own potential exist in the same way. A water tank, for example, has a specific capacity for holding water.
This is the water tank’s capacity. Remember that only things with a hollow interior have measurable volumes that can be plugged into formulas.
You may learn more about the differences between an object’s area and volume from the information provided in the following table and sections.
What is the purpose of Area?
The area of any thing is the whole 2-dimensional space that is covered by an object or form, as we learned in our math lessons. Basically, the area of an item informs us how much space it occupies on the surface of a flat object.
The dimensions of the provided form are simply multiplied to arrive at this result. The area of any item will give us the total number of squares of fixed sizes that are needed to cover the object. This is correct.
The square meter, abbreviated as m2, is the standard unit of area in the International System of Units. There are a variety of formulas that may be used to calculate the area of various forms. The following paragraphs cover a few of the most frequently used formulas.
In a square, the area is equal to the sum of its perimeters.
- Area: Length x Width = Rectangle
- Breadth x Height = Area of a Parallelogram
- (Breadth x Height) x 2 = Area of a Triangle
- A Circle’s Surface Area Is Defined As r2
What’s the current volume level?
Any object’s volume may be thought of as the amount of three-dimensional space contained inside a single closed surface.
In other words, it provides us with information on the object’s volume. The cubic meter, abbreviated m3, is the SI unit of volume. To put it another way, the volume of an item is just its overall capacity. A basketball or a soccer ball, for example, will contain a specified amount of air.
There are several formulas for calculating an object’s volume, just as there are numerous formulas for calculating an object’s area. To help you better understand these formulas, we’ve included their explanations below.
- a3 is the cubic unit’s volume.
- A Rectangular Prism’s volume is calculated as follows:
- A Sphere’s Volume: (4/3) x xr3
- A Cylinder’s volume may be calculated by multiplying its diameter by its height.
- Cone volume: (Height/3) (Height/2) x r2
Difference Between Area and Volume
In all cases, the term “area” refers to a two-dimensional object or surface. A three-dimensional item and its individual capability are defined by volume, on the other hand.
The area of a planar figure will always be greater than the volume of a solid object.
When we speak about an item’s area, we’re referring to the space encompassed by the object’s length and width, which are typically the length and breadth of the object. Volume refers to the sum of an object’s three dimensions: length, width, and height.
Square centimeters, square meters, and even square kilometers are used to quantify an object’s surface area. Cubic units, such as cubic centimeters, cubic meters, and cubic grams, are used to express volume.
The area of every two-dimensional form is always equal to the sum of its length and width. As a result, a volume is always present in any form with three dimensions: length, width, and height.
Area and Volume: Frequently Asked Questions
Is it possible to compare capacity and volume?
Volume refers to the amount of space an item occupies, while capacity refers to how much an object can hold or transport. Putting a bottle of water on a table, for example, fills in the empty space.
The volume is made up of all of this white space. However, the capacity of the bottle is determined by the volume of water it can hold, not by the volume of air it can hold.
Capacity and volume have some conceptual similarities, but they aren’t interchangeable ideas.
When comparing surface area and volume, how can you know which is which?
The term “area” refers to the size of a two-dimensional surface, such as a playground. It is possible to represent the area of a plane in a variety of units, such as square meters and square miles.
It is possible, however, to utilize the same surface in both 3D space and a 2D plane. Surface area, on the other hand, is a measure of an object’s visible surface area. As a result, the surface area is most typically utilized in the context of three-dimensional objects.
To illustrate this point, consider a cube, which has a surface area that equals the sum of the area of all six sides.
Which two volume formulae are there?
The volume of various forms and objects may be calculated using a variety of formulae.
Cuboid and prism formulae are the two most regularly utilized formulas.
lwh is the formula for calculating the cuboid’s volume. L stands for length, W for width, and H for height.
The volume of a prism may be calculated using the formula Bh. h=height, and B=base area.
What is the formula for determining a sphere’s area?
The formula for determining the sphere’s area is: A=4 r2
r represents for radius in this formula, where A stands for the area and stands for pi. Archimedes, the famed Greek philosopher, originally utilized this formula roughly two thousand years ago.
In light of the foregoing explanation, we all understand the difference between an area and a volume. Additionally, we know how to calculate the dimensions and volumes of any object.
Area and volume are two different mathematical notions, yet they vary in several ways.
An object’s area refers to the amount of space it occupies in two dimensions. Any three-dimensional item or figure’s volume relates to how much space it occupies.
Any two-dimensional shape or object may be measured in terms of its surface area using a variety of different formulas. For example, a square’s surface is measured using a different method than that of a triangle.
When it comes to measuring the volume of 3-D figures or objects, there are a number of various formulas that may be used. A cylinder’s volume is measured using a different formula than a sphere’s volume is measured using a different formula.