Question

how much blood is in your body if it masses 6.36x10³ grams (6360 g) and has a density of 1.06 g/cm³.

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We need to find the volume $V$, and we know $m = 6.36\times10^{3}\text{ g}$ and $
ho=1.06\text{ g/cm}^3$.

Step2: Rearrange the formula to solve for volume

Rearranging $
ho=\frac{m}{V}$ gives $V = \frac{m}{
ho}$.

Step3: Substitute values

Substitute $m = 6360\text{ g}$ (since $6.36\times 10^{3}=6360$) and $
ho = 1.06\text{ g/cm}^3$ into the formula: $V=\frac{6360\text{ g}}{1.06\text{ g/cm}^3}$.

Step4: Calculate the volume

$V = 6000\text{ cm}^3$.

Answer:

$6000\text{ cm}^3$