Question

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

Explanation:

Step1: Calculate volume in cm³

The volume $V$ of a cube with side length $a$ is $V = a\times a\times a$. Here $a = 11.0$ cm, so $V=11.0\times11.0\times11.0= 1331$ cm³.

Step2: Convert cm³ to m³

Since $1$ m = $100$ cm, $1$ cm³=$1\times10^{-6}$ m³. So $1331$ cm³$=1331\times10^{- 6}$ m³$=1.331\times10^{-3}$ m³.

Answer:

$1.331\times 10^{-3}$ m³, which corresponds to the first option: $1.331\times 10^{-3}$