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Vegetable broth in a bowl has a density of 1.08gramspercubic centimeter and a mass of 297grams. Calculate its volume.Write your answer as a whole number.

Question

Vegetable broth in a bowl has a density of 1.08 grams per cubic centimeter and a mass of 297 grams.

Calculate its volume. Write your answer as a whole number.

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Solution

1. Break Down the Problem

To find the volume of the vegetable broth, we need to use the formula that relates mass, density, and volume:

Volume=MassDensity \text{Volume} = \frac{\text{Mass}}{\text{Density}}

2. Relevant Concepts

We have the following values:

  • Mass (m) = 297 grams
  • Density (d) = 1.08 grams per cubic centimeter (g/cm³)

3. Analysis and Detail

Now we can substitute the values into the formula:

Volume=297 grams1.08 g/cm3 \text{Volume} = \frac{297 \text{ grams}}{1.08 \text{ g/cm}^3}

Calculating the above gives:

Volume2971.08275 \text{Volume} \approx \frac{297}{1.08} \approx 275

4. Verify and Summarize

The volume calculated should be a whole number. To verify, we check the division one more time:

297÷1.08=275 cm3 297 \div 1.08 = 275 \text{ cm}^3

Final Answer

The volume of the vegetable broth is 275 cubic centimeters.

This problem has been solved

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