Question

use your density skills to find the identity of the following mystery objects
table of densities
solids density g/cm³ solids density g/cm³
marble 2.56 copper 8.92
quartz 2.64 gold 19.32
diamond 3.52 platinum 21.4

1. while digging in the backyard, you find an old coin. its mass is 26.76 g and its volume is 3 cm³. what is the coin made of?

given: work
answer:

1. you think you have found a diamond while at the beach. its mass is 5.28 g and its volume is 2 cm³. is it a real diamond, or is it something else?

Explanation:

Question 6

Step1: Recall density formula

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

Step2: Substitute values

Given $m = 26.76\ \text{g}$ and $V = 3\ \text{cm}^3$, substitute into the formula: $
ho = \frac{26.76}{3}$.

Step3: Calculate density

$\frac{26.76}{3} = 8.92\ \text{g/cm}^3$.

Step4: Match with table

From the table, copper has a density of $8.92\ \text{g/cm}^3$.

Step1: Recall density formula

Use $
ho = \frac{m}{V}$, with $m = 5.28\ \text{g}$ and $V = 2\ \text{cm}^3$.

Step2: Substitute values

$
ho = \frac{5.28}{2}$.

Step3: Calculate density

$\frac{5.28}{2} = 2.64\ \text{g/cm}^3$.

Step4: Compare with diamond's density

Diamond's density is $3.52\ \text{g/cm}^3$. Since $2.64
eq 3.52$, check the table: quartz has density $2.64\ \text{g/cm}^3$.

Answer:

The coin is made of copper.

Question 7