Question

the density of ice is 0.93 g/cm³. what is the volume, in cm³, of a block of ice whose mass is 5.00 kg? remember to select an answer with the correct number of significant figures.

Explanation:

Step1: Convert mass to grams

We know 1 kg = 1000 g, so 5.00 kg = 5.00×1000 g = 5000 g.

Step2: Use density - volume - mass formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. Rearranging for volume gives $V = \frac{m}{
ho}$. Substituting $m = 5000$ g and $
ho=0.93$ g/cm³, we have $V=\frac{5000}{0.93}\text{ cm}^3$.

Step3: Calculate the volume

$V=\frac{5000}{0.93}\text{ cm}^3\approx5376.34\text{ cm}^3$. In scientific - notation and with two significant figures (since the density has two significant figures), $V = 5.4\times10^{3}\text{ cm}^3$.

Answer:

5.4×10³ cm³