Question

what is the volume of a cube with dimensions 11.0 cm × 11.0 cm × 11.0 cm in m³?
1.33 × 10⁻³
1.33 × 10³
1.331 × 10⁻³
1.3 × 10³
none of the above

Explanation:

Step1: Recall volume formula for cube

$V = s^3$, where $s$ is side - length. Here $s = 11.0$ cm. So $V=(11.0\ cm)^3=1331\ cm^3$.

Step2: Convert cm³ to m³

Since $1\ m = 100\ cm$, then $1\ cm=\frac{1}{100}\ m = 10^{- 2}\ m$. So $1\ cm^3=(10^{-2}\ m)^3 = 10^{-6}\ m^3$. Then $1331\ cm^3=1331\times10^{-6}\ m^3 = 1.331\times10^{-3}\ m^3$.

Answer:

$1.331\times 10^{-3}$ (corresponding to the third option)