In physics, volume refers to the amount of three-dimensional space that an object or substance occupies.
What is Volume?
- Formula for Volume:
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- Cube: ( V = a^3 ), where ( a ) is the length of a side.
- Rectangular prism (or box): ( V = l \times w \times h ), where ( l ) is the length, ( w ) is the width, and ( h ) is the height.
- Sphere: ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius.
- Cylinder: ( V = \pi r^2 h ), where ( r ) is the radius of the base, and ( h ) is the height.
- Cone: ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base, and ( h ) is the height.
- This Image shows Different Shapes:
- Units of Volume:
- SI unit: The standard unit in the International System of Units (SI) is the cubic meter (m³).
- Other units:
- 1 liter (L) = 1,000 cubic centimeters (cm³)
- 1 milliliter (mL) = 1 cubic centimeter (cm³)
- 1 cubic meter (m³) = 1,000 liters (L)
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- Volume of Irregular Objects:
- For irregularly shaped objects, it can be measured using methods such as water displacement.
