Question

table of densities
marble: 2.56 g/cm³
quartz: 2.64 g/cm³
diamond: 3.52 g/cm³
copper: 8.92 g/cm³
gold: 19.32 g/cm³
platinum: 21.4 g/cm³

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:

Explanation:

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: Identify given values

We are given that the mass $m = 26.76\ \text{g}$ and the volume $V = 3\ \text{cm}^3$.

Step3: Calculate density

Substitute the given values into the density formula: $
ho = \frac{26.76}{3}$.
Calculating this, we get $
ho = 8.92\ \text{g/cm}^3$.

Step4: Compare with density table

Looking at the table of densities, the density of copper is $8.92\ \text{g/cm}^3$.

Answer:

The coin is made of copper.