Question

density calculation practice

1. a student measures a 12.9 g block of brown sugar and its volume is 8 cm³. what is the density of the block of brown sugar?
2. a chef fills a container with 50 ml of cooking oil. the mass of the oil is 43.5 g. what is the density of the oil?

Explanation:

Problem 1

Step1: Recall density formula

The formula for density ($
ho$) is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Identify given values

Mass $m = 12.9\ \text{g}$, Volume $V = 8\ \text{cm}^3$.

Step3: Substitute into formula

$
ho = \frac{12.9\ \text{g}}{8\ \text{cm}^3}$

Step4: Calculate the value

$
ho = 1.6125\ \text{g/cm}^3$

Step1: Recall density formula

The formula for density ($
ho$) is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume. Note that $1\ \text{mL} = 1\ \text{cm}^3$, so volume $V = 50\ \text{mL}=50\ \text{cm}^3$.

Step2: Identify given values

Mass $m = 43.5\ \text{g}$, Volume $V = 50\ \text{cm}^3$.

Step3: Substitute into formula

$
ho = \frac{43.5\ \text{g}}{50\ \text{cm}^3}$

Step4: Calculate the value

$
ho = 0.87\ \text{g/cm}^3$

Answer:

The density of the brown sugar block is $1.6125\ \text{g/cm}^3$.

Problem 2