Difference Between Area and Volume

Area is the measure of the space covered by a flat surface, while volume is the measure of the amount of space occupied by a solid object or region.

Table of Contents:

• What is Area?
• What is Volume?
• Difference Between Area and Volume
• Formulas for calculating the area of various shapes
• FAQs

Difference Between Area and Volume

The key difference between area and volume is that area is the measure of the space covered by a flat surface, while volume is the measure of the amount of space occupied by a solid object or region. Area is two-dimensional and measures the size of a surface, while volume is three-dimensional and measures the capacity or space inside an object.

What is Area?

Area measures how much space is covered or enclosed by a flat surface or shape. It tells us the size of a surface or the amount of space it occupies.

For example, if you have a rectangular garden, the area would tell you how much ground it covers. It is usually expressed in square units such as square meters or square feet. So, in essence, area helps us understand the extent or size of a two-dimensional surface.

What is Volume? 

Volume is the measure of how much space an object or region occupies in three dimensions. It tells us the capacity or amount of space inside a solid object.

For example, if you have a box, the volume would tell you how much it can hold. It is usually expressed in cubic units such as cubic meters or cubic feet. So, volume helps us understand the amount of space that a three-dimensional object takes up or the space contained within a specific region.

What is the difference between Area and Volume?

Area:

• Area is a two-dimensional measurement.
• It represents the amount of space covered by a flat surface.
• It is measured in square units such as square meters or square feet.
• Area quantifies the size or extent of a surface.
• It helps determine the amount of space enclosed within the boundary of a two-dimensional shape or surface.

Volume:

• Volume is a three-dimensional measurement.
• It represents the amount of space occupied by a solid object or contained within a three-dimensional region.
• It is measured in cubic units such as cubic meters or cubic feet.
• Volume quantifies the capacity or amount of space within a three-dimensional object.
• It helps determine the space enclosed within the boundary of a solid shape.

Formulas for Calculating the Area of Various Shapes:

1. Rectangle:

Area = length × width

2. Square:

Area = side length × side length

3. Triangle:

Area = 0.5 × base × height

4. Circle:

Area = π × radius²

4. Parallelogram:

Area = base × height

5. Trapezoid:

Area = 0.5 × (base1 + base2) × height

6. Ellipse:

Area = π × major axis length × minor axis length

7. Regular Polygon:

Area = (perimeter × apothem) / 2

Formulas for Calculating the Volume of Various Shapes:

1. Cube:

Volume = side length × side length × side length

2. Rectangular Prism (or Cuboid):

Volume = length × width × height

3. Cylinder:

Volume = π × radius² × height

4. Sphere:

Volume = (4/3) × π × radius³

5. Cone:

Volume = (1/3) × π × radius² × height

6. Pyramid:

Volume = (1/3) × base area × height

7. Triangular Prism:

Volume = (1/2) × base × height × length

8. Ellipsoid:

Volume = (4/3) × π × radius1 × radius2 × radius3

Difference Between Area and Volume FAQS

Grade 7 Science Worksheets

• Elements and Compounds
• Solar Energy
• Photosynthesis
• Electricity and Magnetism
• Law of conservation of energy
• Periodic table
• Properties of Matter
• Waves
• Energy Resources 
• Weather and Climate
• Immune, Circulatory and Digestive Systems
• Organs in Multi-cellular Organism
• Sedimentary, Igneous, and Metamorphic Rocks
• Structure of the Earth
• Law of Conservation of Mass
• Physical and Chemical Changes
• Scientific Method
• Human Digestive System
• Environmental Science
• Renewable and Non-renewable energy Resources
• Characteristics of Living Organisms
• Life Science
• Earth and Space Science
• Solar Eclipse
• Heat Technology
• Newton’s Laws of Motions
• Physical Science
• Tools, Measurement and SI Units
• Earth Atmosphere
• Interactions of Living things
• The Earth Ecosystem
• Organelles in Plant and Animal cells
• Layers of the Earth
• Cycles in Nature

Grade 7 Math Worksheets

• Fractions
• Linear equations word problems
• Statistics
• Properties of Parallel Line
• Finding slope from an equation
• Identifying Quadrilaterals
• Percent Change
• Properties of addition and multiplication
• Pythagorean Theorem
• Solving two step inequalities
• Symmetry
• Fractions to Decimals (New)
• Whole Number Exponents with Integer Bases (New)
• Adding and Subtracting Fractions (New)
• Integer Addition and Subtraction (New)
• Dividing Mixed Numbers (New)
• Basics of Coordinate Geometry (New)