kuutioksi

Kuutioksi is a Finnish linguistic form derived from kuutio (cube) that is used to express transformation into a cube or the operation of cubing a number. In mathematics and education, kuutioksi signals that a value is being raised to the power of three.

In mathematical terms, cubing a number x yields x^3, which means multiplying x by itself three times: x^3 = x · x · x. The translative form kuutioksi appears in instructional phrases such as “laske luvun kuutioksi” (compute the cube of the number). It is also used in examples like “kaksi kuutioksi” (two cubed) = 8 and “kolme kuutioksi” (three cubed) = 27. In geometry, the cube of a side length a is a^3, and this value also represents the volume of a cube with side length a.

The concept adheres to standard exponent rules, for instance (ab)^3 = a^3 b^3 and (x+y)^3 = x^3 + 3x^2y + 3xy^2 + y^3. While primarily encountered in educational contexts and mathematical notation, kuutioksi also appears in programming explanations where the operation of raising a value to the third power is described.

Related terms include kuutio (cube) and general exponentiation. Kuutioksi serves as a grammatical and mathematical marker for the third power in Finnish usage.