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A gold coin has a density of 20.0 grams per cubic centimeter and a mass of 37.6 grams.

Calculate its volume.

Write your answer to the hundredths place.

________ cubic centimeters

Answer :

To find the volume of the gold coin, we can use the formula:

[tex]\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \][/tex]

Here's how you can do it step by step:

1. Identify the given values:
- Density of the gold coin = 20.0 grams per cubic centimeter
- Mass of the gold coin = 37.6 grams

2. Use the formula:
We need to divide the mass by the density to find the volume:

[tex]\[ \text{Volume} = \frac{37.6 \, \text{grams}}{20.0 \, \text{grams/cubic centimeter}} \][/tex]

3. Perform the division:
- Divide 37.6 by 20.0 to find the volume.

4. Result:
- The volume of the gold coin is approximately 1.88 cubic centimeters.

Round your final answer to the hundredths place, which is already done in the calculation. Therefore, the volume of the gold coin is 1.88 cubic centimeters.

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