Question

Cube of $-\frac{1}{4}$ is

• A. $-\frac{1}{12}$
• B. $\frac{1}{16}$
• C. $-\frac{1}{64}$
• D. $\frac{1}{64}$

Answer 1

The correct option is C

$-\frac{1}{64}$

In mathematics, the cube of the number represents the number, when the given number is multiplied thrice or three times. The resultant number is called the cube number or the cube of the number. If $x$ is a number, the cube of the number is given by $x^3$.

Cube of $-\frac{1}{4}$

$$\begin{gathered} ={\left(-\frac{1}{4}\right)}^3 \\ =-\frac{1}{4}\times -\frac{1}{4}\times -\frac{1}{4} \\ =-\frac{1}{64} \end{gathered}$$

Hence, the cube of $-\frac{1}{4}$ is $-\frac{1}{64}$.