Question

example 3 - calculating volume
an unknown metal has a density of 5.6 g/cm³ and a mass of 96.45 g. determine the metal’s volume?
what is the volume of the unknown metal?
17.22 cm³
0.06 cm³
540.12 cm³
rewatch

Explanation:

Step1: Recall density formula

The formula for density is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We need to solve for $V$, so rearrange the formula to $V = \frac{m}{
ho}$.

Step2: Substitute values

Given $
ho = 5.6\ \text{g/cm}^3$ and $m = 96.45\ \text{g}$. Substitute into the formula: $V = \frac{96.45}{5.6}$.

Step3: Calculate the division

Perform the division: $\frac{96.45}{5.6} \approx 17.22\ \text{cm}^3$.

Answer:

$17.22\ \text{cm}^3$ (corresponding to the option with 17.22 cm³)