Question

1. sugar has a density of 1.59 g/cm³. what is the mass of 18 cubes of sugar, each with a volume of 1.48 cm³?

Explanation:

Step1: Calculate total volume

The volume of one cube is $1.48\ cm^{3}$, and there are 18 cubes. So the total volume $V$ is $V = 1.48\times18\ cm^{3}$.
$V=1.48\times18 = 26.64\ cm^{3}$

Step2: Calculate mass using density - mass - volume formula

The density formula is $D=\frac{m}{V}$, where $D$ is density, $m$ is mass and $V$ is volume. We know $D = 1.59\ g/cm^{3}$ and $V = 26.64\ cm^{3}$, and we want to find $m$. Rearranging the formula gives $m=D\times V$.
$m = 1.59\times26.64\ g$
$m=1.59\times26.64 = 42.3576\ g$

Answer:

$42.36\ g$ (rounded to two decimal - places)