Question

what is the volume of a cube with dimensions 11.0 cm x 11.0 cm x 11.0 cm in cm³?
1.33 x 10³
1.33 x 10⁻³
1.331 x 10⁻³
1.3 x 10³

Explanation:

Step1: Recall volume formula

The volume $V$ of a cube is given by $V = s^3$, where $s$ is the side - length of the cube. Here, $s = 11.0$ cm.

Step2: Calculate the volume

$V=(11.0)^3=11.0\times11.0\times11.0 = 1331$ $cm^3$.

Step3: Convert to scientific notation

$1331 = 1.331\times10^{3}$ $cm^3$.

Answer:

$1.331\times 10^{3}$ (There is no exact match among the given options, but the closest correct - value in scientific notation considering significant figures would be $1.33\times 10^{3}$ as $1331$ with 3 significant figures is $1.33\times 10^{3}$)