2. The Volume Of Liquid In A Packaged Product Must Be Converted From Cubiccentimeters To Cubic Inches. One Cubic Centimeter Is Equal To 0.06 Cubic Inches,and The Products' Package Contains 28.6 Cubic Centimeters Of Liquid. How Manycubic Inches Of
Understanding the Conversion Factor
When working with measurements, it's essential to understand the conversion factors between different units. In this case, we're dealing with the conversion of liquid volume from cubic centimeters (cm³) to cubic inches (in³). The given conversion factor is that one cubic centimeter is equal to 0.06 cubic inches.
The Problem: Converting 28.6 Cubic Centimeters to Cubic Inches
We're given a packaged product that contains 28.6 cubic centimeters of liquid. Our task is to convert this volume from cubic centimeters to cubic inches using the conversion factor.
Step 1: Write Down the Conversion Factor
The conversion factor is 1 cm³ = 0.06 in³. This means that for every cubic centimeter, we can convert it to 0.06 cubic inches.
Step 2: Multiply the Volume in Cubic Centimeters by the Conversion Factor
To convert the volume from cubic centimeters to cubic inches, we need to multiply the given volume (28.6 cm³) by the conversion factor (0.06 in³/cm³).
Mathematical Representation
Volume in cubic inches = Volume in cubic centimeters × Conversion factor = 28.6 cm³ × 0.06 in³/cm³ = 1.716 in³
Rounding the Answer
In most cases, we round the answer to the nearest whole number or to a specific number of decimal places. However, in this case, we'll keep the answer as is, with two decimal places.
Conclusion
In conclusion, we've successfully converted the volume of liquid in a packaged product from cubic centimeters to cubic inches using the conversion factor. The volume in cubic inches is 1.716 in³.
Real-World Applications
Converting units is a crucial skill in various fields, including science, engineering, and manufacturing. In the food industry, for example, converting units is essential for labeling and packaging products. In this case, converting the volume of liquid from cubic centimeters to cubic inches helps ensure accurate labeling and packaging.
Common Conversion Factors
Here are some common conversion factors for volume:
- 1 cm³ = 0.06 in³
- 1 in³ = 16.387 cm³
- 1 liter = 1000 cm³
- 1 gallon = 3785 cm³
Tips and Tricks
When working with conversion factors, remember to:
- Always write down the conversion factor
- Multiply the given volume by the conversion factor
- Round the answer to the nearest whole number or to a specific number of decimal places
Practice Problems
Try converting the following volumes from cubic centimeters to cubic inches:
- 15.2 cm³
- 25.6 cm³
- 37.8 cm³
Answer Key
- 15.2 cm³ = 0.916 in³
- 25.6 cm³ = 1.536 in³
- 37.8 cm³ = 2.268 in³
Conclusion
Frequently Asked Questions
In this article, we'll address some common questions and concerns related to converting liquid volume from cubic centimeters to cubic inches.
Q: What is the conversion factor for cubic centimeters to cubic inches?
A: The conversion factor for cubic centimeters to cubic inches is 1 cm³ = 0.06 in³. This means that for every cubic centimeter, we can convert it to 0.06 cubic inches.
Q: How do I convert a volume from cubic centimeters to cubic inches?
A: To convert a volume from cubic centimeters to cubic inches, you need to multiply the given volume by the conversion factor (0.06 in³/cm³).
Q: What if I have a volume in cubic inches and I need to convert it to cubic centimeters?
A: To convert a volume from cubic inches to cubic centimeters, you need to divide the given volume by the conversion factor (0.06 in³/cm³).
Q: Can I use a calculator to convert volumes?
A: Yes, you can use a calculator to convert volumes. Simply enter the given volume in cubic centimeters, multiply it by the conversion factor (0.06 in³/cm³), and you'll get the volume in cubic inches.
Q: What if I have a volume in liters and I need to convert it to cubic inches?
A: To convert a volume from liters to cubic inches, you need to multiply the given volume by the conversion factor (1 liter = 1000 cm³) and then multiply the result by the conversion factor (1 cm³ = 0.06 in³).
Q: Can I use a conversion chart to convert volumes?
A: Yes, you can use a conversion chart to convert volumes. However, make sure to use a chart that has the correct conversion factors.
Q: What are some common conversion factors for volume?
A: Here are some common conversion factors for volume:
- 1 cm³ = 0.06 in³
- 1 in³ = 16.387 cm³
- 1 liter = 1000 cm³
- 1 gallon = 3785 cm³
Q: How do I round my answer when converting volumes?
A: When rounding your answer, you can round to the nearest whole number or to a specific number of decimal places. However, make sure to follow the rules of significant figures.
Q: Can I use a calculator to round my answer?
A: Yes, you can use a calculator to round your answer. Simply enter the result and use the calculator's rounding function.
Conclusion
Converting volumes from cubic centimeters to cubic inches is a common task in various fields. By understanding the conversion factors and following the steps outlined in this article, you can confidently convert volumes. Remember to always write down the conversion factor, multiply the given volume by the conversion factor, and round the answer to the nearest whole number or to a specific number of decimal places.
Practice Problems
Try converting the following volumes from cubic centimeters to cubic inches:
- 15.2 cm³
- 25.6 cm³
- 37.8 cm³
Answer Key
- 15.2 cm³ = 0.916 in³
- 25.6 cm³ = 1.536 in³
- 37.8 cm³ = 2.268 in³
Real-World Applications
Converting volumes is a crucial skill in various fields, including science, engineering, and manufacturing. In the food industry, for example, converting units is essential for labeling and packaging products. In this case, converting the volume of liquid from cubic centimeters to cubic inches helps ensure accurate labeling and packaging.
Common Mistakes
When converting volumes, make sure to avoid the following common mistakes:
- Not writing down the conversion factor
- Not multiplying the given volume by the conversion factor
- Not rounding the answer to the nearest whole number or to a specific number of decimal places
Conclusion
Converting volumes from cubic centimeters to cubic inches is a common task in various fields. By understanding the conversion factors and following the steps outlined in this article, you can confidently convert volumes. Remember to always write down the conversion factor, multiply the given volume by the conversion factor, and round the answer to the nearest whole number or to a specific number of decimal places.