térfogata

Térfogata is the volume of a three-dimensional object, referring to the amount of space inside or occupied by that object. In geometry and physics, it is a scalar quantity measured in cubic units such as cubic meters (m^3), cubic centimeters (cm^3), or liters (L). The possessive form “térfogata” denotes the specific volume of a given object, for example the térfogata of a container.

For common shapes, the volume formulas are:

- Rectangular prism or cube: V = length × width × height.

- Sphere: V = (4/3) π r^3, where r is the radius.

- Cylinder: V = π r^2 h, where h is the height.

- Cone: V = (1/3) π r^2 h.

- Pyramid: V = (1/3) B h, where B is the area of the base and h is the height.

- Regular tetrahedron with edge a: V = a^3 / (6√2).

Volumes of irregular objects can be found by decomposition into regular solids, numerical integration, or by measuring displacement in a graduated volume.

Units and conversions are important: 1 m^3 equals 1000 liters, and 1 liter equals 0.001 m^3. Volume is related to density through mass = density × volumen, linking how much matter an object contains to how much space it occupies. In everyday language, térfogata is used to discuss the capacity of containers, oceans, rooms, and other enclosures, making it a fundamental concept in science, engineering, and everyday measurements.