The volume of a cube of side 1cm is equal to.........m3

The correct option is 10⁻⁶ m⁻³.

To find the volume of the cube in cubic meters, we perform the following conversion steps:

Step 1: Identify the side length of the cube
The side length of the cube, denoted as $s$, is given as:
$s=1\text{cm}$

Step 2: Convert the side length from centimeters to meters
Since $1\text{m}=100\text{cm}$, we have:
$1\text{cm}={10}^{-2}\text{m}$

Step 3: Calculate the volume
The volume $V$ of a cube is calculated using the formula:
$V=s^3$

Substitute the side length in meters into the volume formula:
$V={\left({10}^{-2}\text{m}\right)}^3$

Apply the laws of exponents to simplify the expression:
$V={10}^{-2\times 3}{\text{m}}^3$
$V={10}^{-6}{\text{m}}^3$

Thus, the volume of the cube is ${10}^{-6}{\text{m}}^3$ (which corresponds to the option 10⁻⁶ m⁻³).