Use metric conversion factors to solve each of the following problems: d. A balloon has a volume of 3500 cm³. What is the volume in liters?

Verified step by step guidance

1. Identify the conversion factor between cubic centimeters (cm³) and liters (L). There are 1000 cm³ in 1 L.
2. Set up the conversion by writing the given volume in cubic centimeters (3500 cm³) and multiply it by the conversion factor to convert to liters.
3. The conversion factor can be expressed as \( \frac{1 \text{ L}}{1000 \text{ cm}^3} \).
4. Multiply 3500 cm³ by \( \frac{1 \text{ L}}{1000 \text{ cm}^3} \) to convert the volume to liters.
5. Simplify the expression to find the volume in liters.

Key Concepts

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters for length, grams for mass, and liters for volume. Understanding the metric system is essential for converting between different units, as it provides a standardized framework for measurement.

Volume Conversion

Volume conversion involves changing a measurement from one unit of volume to another, such as from cubic centimeters (cm³) to liters (L). In the metric system, 1 liter is equivalent to 1000 cubic centimeters, making it crucial to apply this conversion factor accurately to solve volume-related problems.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that express the relationship between different units. This method ensures that units cancel appropriately, allowing for accurate conversions and helping to verify that the final answer is in the desired unit of measurement.