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A soup bowl has a volume of \( 568 \mathrm{~cm}^{3} \). Find how many liters of soup will completely fill the bowl. the table of conversion facts, as needed.

Ask by Hill Allan. in the United States
Jan 22,2025

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Answer

A bowl with a volume of 568 cm³ will hold 0.568 liters of soup.

Solution

To determine how many liters of soup will completely fill a bowl with a volume of \( 568 \, \mathrm{cm}^{3} \), you can use the following conversion factor: \[ 1 \, \text{liter (L)} = 1000 \, \text{cubic centimeters (cm}^{3}\text{)} \] **Step-by-Step Conversion:** 1. **Start with the given volume in cubic centimeters:** \[ 568 \, \mathrm{cm}^{3} \] 2. **Use the conversion factor to convert cubic centimeters to liters:** \[ \text{Liters} = \frac{\text{Volume in cm}^{3}}{1000} \] 3. **Plug in the numbers:** \[ \text{Liters} = \frac{568 \, \mathrm{cm}^{3}}{1000} = 0.568 \, \text{L} \] **Conclusion:** A bowl with a volume of \( 568 \, \mathrm{cm}^{3} \) will be completely filled with **0.568 liters** of soup.

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To convert the volume from cubic centimeters to liters, we use the fact that \( 1 \, \text{liter} = 1000 \, \text{cm}^3 \). Therefore, to find the number of liters in \( 568 \, \text{cm}^3 \), we can divide by 1000: \[ \frac{568}{1000} = 0.568 \, \text{liters}. \] So, the soup bowl can hold \( 0.568 \) liters of soup. Now, isn't it fascinating that back in the early 19th century, the metric system was adopted to simplify conversions like these? This system made calculations easier for both scientists and the common folk, allowing recipes and science alike to flourish, all thanks to standardization! In practical terms, if you're ever in the kitchen trying to portion out ingredients or soup for a big family gathering, remember that knowing how many liters fit into your containers can save you from those awkward "oops, I ran out!" moments. So keep a handy conversion chart close by for those cooking adventures!

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