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A sample of gold has a mass of 38.6 grams and a volume of [tex]$2 \, \text{cm}^3$[/tex]. What is the density of gold?

The formula is [tex]\text{density} = \frac{\text{mass}}{\text{volume}}[/tex].

Answer :

To find the density of the gold sample, we follow these steps:

1. Identify the Mass and Volume:
- Mass of the gold sample is given as 38.6 grams.
- Volume of the gold sample is 2 cm³.

2. Use the Density Formula:
- The formula to calculate density is:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]

3. Plug in the Values:
- Substitute the given values into the formula:
[tex]\[
\text{Density} = \frac{38.6 \, \text{grams}}{2 \, \text{cm}^3}
\][/tex]

4. Calculate the Density:
- Perform the division to find the density:
[tex]\[
\text{Density} = 19.3 \, \text{grams/cm}^3
\][/tex]

Therefore, the density of the gold sample is 19.3 grams per cubic centimeter (g/cm³).

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