Difference Between Area And Volume, What Is Area, Important Formulas For Calculating Area
Difference between Area and Volume : Area is measured using square units, such as square centimeters or square feet, while volume is measured using cubic units, such as cubic centimeters or cubic feet.
Shrivastav 10 Jan, 2024
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Difference between Area and Volume : The area is the amount of space occupied by a two-dimensional flat object in a plane. The space occupied by a three-dimensional object is called its volume. The area is measured in square units. The volume is measured in cubic units. The area corresponds to outer space, while the volume corresponds to inner capacity. Area is measured in square units, such as square inches, square feet, and so on, while volume is measured in cubic units such as cubic feet, cubic inches, and so on.
What is Area?
A two-dimensional surface or region's measurement or extent is commonly referred to as its area. It is a quantitative measurement expressed in square units of the amount of space an object or shape takes up. Depending on the measurement system being used, the area is expressed in square meters, square feet, or square kilometres. For instance, you can find the area of a rectangle by multiplying its length and width, but you can find the area of a circle using the formula A = r*r, where r is the circle's radius and "A" is the circle's area.Important Formulas for Calculating Area of Geometric Shapes
Important Formulas for Calculating Area of Geometric Shapes : The formulas for calculating the area of important 2D geometric shapes, such as rectangles, circles, triangles, and squares are given in the table below.| Important Formulas for Calculating Area of Geometric Shapes | |
| Rectangle | A= l*b, where l is the length and b is the breadth of the rectangle |
| Circle | A= 3.14*r*r, where r is the radius of the circle |
| Triangle | A= 0.5*b*h, where b is the base and h is the height of the triangle. |
| Square | A= s*s, where s is the side of the square |
What is Volume?
What is Volume? : The volume of a particular thing is referred to as the amount of space occupied by a three-dimensional object. It expresses the total capacity or size of the object in cubic units, such as cubic meters or cubic feet. The volume of a solid, such as a cube or a cuboid, is calculated by counting the number of unit cubes contained within it. The standard unit of area is cubic units, which are commonly represented as cubic inches, cubic feet, and so on. V olume is important in many fields, including physics, engineering, and architecture. It enables the measurement and comparison of the amount of space occupied by various objects or substances in three-dimensional space.Important Formulas for Calculating Volume of Geometric Figures
The formulas for calculating the area of important 2D geometric shapes, such as rectangles, circles, triangles, and squares are given in the table below.| Important Formulas for Calculating Volume of Geometric Figures | |
| Cube | Volume = Length × Width × Height |
| Cylinder | Volume = πr²h, where "r" is the radius of the base and "h" is the height. |
| Sphere | Volume = (4/3)πr³, where "r" is the radius of the sphere. |
| Cone | Volume = (1/3)πr²h, where "r" is the radius of the base and "h" is the height. |
Difference Between Area And Volume
Difference Between Area And Volume : Some major notable difference between area and volume are given in the table below.| Difference between Area and Volume | |
| Area | Volume |
| The area is always defined for two-dimensional objects or plane figures. | The volume never changes when dealing with three-dimensional objects or solid figures |
| Both length and width are the primary dimensions that are measured. | It is measured in three dimensions, with the height making up the third dimension. |
| It has a square unit of measurement. | The unit of measurement is cubic units. |
| The area encompasses an object's external space. | The capacity of an object is its volume. |
Formulas for Area and Volume
The formulas for Area and volume differ on the basis of the shape in consideration. The respective formula is mentioned in detail for different two-dimensional and three-dimensional shapes below:Formulas for Areas of different shapes
| Formulas for Areas of different shapes | |
| Geometric Shapes | Area Formula |
| Square | A= s*s, where s denotes the side of the square |
| Rectangle | A= l*b, where l is the length and b is the breadth of the rectangle |
| Triangle | A= ½*b*h, where b is the base and h is the height of the triangle |
| Parallelogram | A= b*h, where b is the base and h is the height of the parallelogram |
| Rhombus | A= a*h, where a is the side and h is the height of the rhombus |
| Circle | A= pi*r*r, where r is the radius of the circle |
| Semi-Circle | A= ½ * pi* r*r, where r is the radius of the circle and pi is the constant whose value is 3.14 |
Formulas for Volumes of different shapes
| Formulas for Volumes of different shapes | |
| Geometric Shapes | Volume Formula |
| Cube | V= s*s*s, where s denotes the side of the cube |
| Cuboid | V= l*b*h, where l is the length and b is the breadth of the cuboid |
| Right Circular Cone | V= ⅓ *pi*r*r*h, where r is the radius of the base and h is the height of the right circular cone |
| Right Circular Cylinder | V= pi*r*r*h, where r is the radius of the base and h is the height of the right circular cylinder |
| Right Pyramid | V= ⅓*a*h, where a is the area of the base and h is the height of the right pyramid |
| Sphere | V= 4/3*pi*r*r*r, where r is the radius of the sphere |
| Hemisphere | V= 2/3 * pi* r*r*r, where r is the radius of the hemisphere and pi is the constant whose value is 3.14 |
Difference between Area and Volume FAQs
Q1. Which is bigger, volume or area?
Ans. Yes. Things that are thin or small have a large surface area in relation to their volume. As a result, their surface-to-volume ratio is high. Larger objects have a smaller surface area to volume ratio because their surface area is smaller than their volume.
Q2. What is the difference between cubic area and volume?
Ans. The answer is that volume is expressed in cubic units (like cubic inches), whereas area is expressed in square units (like square inches). Put simply, area refers to the space on the outside of an object, whereas volume refers to the space inside an object.
Q3. How do you find volume by area?
Answer: Volume, which is expressed in cubic units, is a measure of capacity. Multiply the area of the base (length × width) by the height to find the volume of a rectangular prism.
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