Cubic

Cubic is a term used in mathematics and geometry to describe something that is of, relating to, or having the shape of a cube. It can also refer to a cubic equation or function.

Definition

A cubic shape is a three-dimensional geometric shape that has six equal square faces. The term is derived from the Latin word "cubus," which means "a cube." In mathematics, a cubic function is a function of the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and x is a variable.

Cubic in Mathematics

In mathematics, the term cubic is used to describe a polynomial of the third degree. The general form of a cubic function is f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and x is a variable. The graph of a cubic function is a smooth curve that can have one or two "humps" (local maxima or minima), and one "dip" (global minimum or maximum).

Cubic in Geometry

In geometry, a cubic shape is a three-dimensional object that has six equal square faces. Each face of a cube is a square, and all edges are of equal length. The cube is one of the five Platonic solids, which are the only regular polyhedra (shapes with all faces and angles equal).

Cubic Equations

A cubic equation is an equation that can be rearranged in the form ax^3+bx^2+cx+d=0, where a, b, c, and d are numbers, and a ≠ 0. The solutions of this equation are called the roots of the equation. Cubic equations have either one real root, or three real roots.

See Also

• Cubic function
• Cubic equation
• Cubic meter
• Cubic centimeter
• Cubic foot
• Cubic yard

References

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