Area and volume both tell us how big something is, but they measure different things. Area is about the size of a flat surface, like the space inside a square, rectangle, or circle. We measure it in square units, like square inches or square meters.
Volume, on the other hand, is about the space inside a three-dimensional object, like a cube, sphere, or cylinder. It's measured in cubic units, like cubic inches or cubic meters. So, area measures the size of a flat shape, while volume measures the size of a shape in three dimensions.
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Area
Area is a way to measure how much space a flat surface covers. It's a number that tells you the size of a two-dimensional object or shape, like a square or a triangle. To find the area, you usually multiply the length by the width of the shape. The unit for area is something like square meters (m2) or square feet (ft2).
For example:
Rectangle: Area = length * width (where length is how long it is and width is how wide it is)
Square: Area = side length * side length
Triangle: Area = (base * height) / 2 (where base is the bottom length and height is how tall it is)
Circle: Area = π radius * radius (where radius is the distance from the center to the edge)
Area is used in math, engineering, and architecture to measure the size of shapes and objects. In real life, we use area to figure out how much flooring we need for a room, how much paint to cover a wall, or how big a field is for farming or playing sports.
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Volume
Volume is how much space something takes up. In physics, it's measured in cubic units like cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³). In finance, volume means how many shares or units of an asset were traded in a specific time.
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Volume of cuboid = L × W × H (L = length, W = Width, H = Height)
Difference of Area and Volume in Shapes
Area and Volume measure the amount of space taken up by an object, area is limited to two dimensions and is used to measure the size of flat shapes, while volume is a three-dimensional measurement used to describe the size of solid object.
Areas of different shapes here:
|
Name of the shape |
Area |
|
Rectangle |
Length × Width |
|
Square |
πr2 (r = radius) |
|
Semicircle |
1/2 πr2 (r = radius) |
|
Triangle |
1/2 × base × height |
|
Parallelogram |
Base × Height |
|
Rhombus |
Side × Height |
|
Trapezoid |
1/2 (Sum of parallel side) × height |
Volumes of different shapes here:
|
Name of the shape |
Volume |
|
Cube |
Side*Side*Side |
|
Cuboid |
Length x Width x Height |
|
Sphere |
(4/3)πr3 |
|
Hemisphere |
2/3 (πr3) |
|
Cylinder |
πr2h |
|
Cone |
1/3(πr2h) |
|
Prism |
Area of Base × Height |
Difference between Area and Volume
Area and volume are important measurements in math and fields like engineering and physics. Area measures the size of a flat surface, like a piece of paper. It's found by multiplying the length and width of a shape.
Volume measures the amount of space inside a solid object, like a box or a ball. It's calculated by multiplying the length, width, and height of the object.
Here are the main differences between area and volume:
Area:
- Describes the size of a flat, two-dimensional object.
- Measures the space inside a flat surface.
- Calculated by multiplying the length and width.
- Units include square meters (m²) or square centimeters (cm²).
Volume:
- Describes the size of a solid, three-dimensional object.
- Measures the space inside the object.
- Calculated by multiplying the length, width, and height.
- Units include cubic meters (m³) or cubic centimeters (cm³).
In short, area measures flat surfaces, while volume measures the space inside solid objects.