cubature
Definition
- Noun:
- The process of determining the volume of a solid figure: "cubature" refers to the calculation or measurement of cubic content, especially in mathematics and geometry. It is the act of finding the volume expressed in cubic units.
- A method or formula for calculating volume: In technical contexts, "cubature" can denote a specific rule or set of rules used to compute the volume of irregular shapes.
Usage Examples
- Noun:
- The engineer performed a cubature of the irregularly shaped tank to determine its capacity. (The engineer calculated the volume of the tank.)
- In ancient geometry, cubature was a fundamental skill for constructing buildings and measuring grain storage. (The measurement of volume was essential in early architecture and trade.)
Advanced Usage
"cubature formula": a mathematical expression used to approximate the volume of a solid, especially in numerical integration.
- The scientist applied a cubature formula to compute the volume of the three-dimensional data set. (A specific equation was used to estimate the solid's cubic content.)
"cubature of a solid": the act of finding the volume of a three-dimensional object.
- The cubature of a sphere is given by the formula V = 4/3 π r³. (The volume calculation for a sphere uses this well-known equation.)
Variants and Related Words
Cubic (adj): having the form of a cube; relating to volume measured in cubes.
- The container has a cubic capacity of ten liters. (Its volume is ten cubic liters.)
Cube (n): a solid object with six equal square faces; the third power of a number.
- The cube of 3 is 27. (3 multiplied by itself twice equals 27.)
Synonyms
- Volumetry: the measurement of volume.
- Cubic measure: a system of units for measuring volume.
Phrasal Verbs
- None directly associated with "cubature." The word is primarily a technical noun.
Related Idioms
- None. "Cubature" is a specialized term and does not appear in common idiomatic expressions.