# Question #166d9

Sep 3, 2016

$\textsf{\left(a\right)}$

$\textsf{463 \textcolor{w h i t e}{x} g}$

$\textsf{\left(b\right)}$

$\textsf{3.7 \textcolor{w h i t e}{x} L}$

#### Explanation:

(a)

Use the idea that:

Density = mass / volume.

In symbols:

$\textsf{d = \frac{m}{v}}$

The question is using both $\textsf{c {m}^{3}}$ and $\textsf{m l}$ which are the same.

So:

$\textsf{m = d . v = 1.11 \times 417 = 462.87 \textcolor{w h i t e}{x} g}$

$\textsf{m = 463 \textcolor{w h i t e}{x} g}$ to 3sf.

(b)

Rearranging we get:

$\textsf{v = \frac{m}{d}}$

We now need to convert $\textsf{k g}$ into $\textsf{g}$ which we do by multiplying the mass by 1000 $\textsf{\Rightarrow}$

$\textsf{v = \frac{4.1 \times {10}^{3}}{1.11} = 3693.7 \textcolor{w h i t e}{x} m l}$

$\textsf{v = 3.7 \textcolor{w h i t e}{x} L}$