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 relationship between cubic centimeters (cm³) and liters (L). The conversion factor is 1 cm³ = 0.001 L.
2. Write the given value: 3500 cm³.
3. Set up the conversion by multiplying the given value by the conversion factor: 3500 cm³ × (0.001 L / 1 cm³).
4. Cancel out the cm³ units, leaving the result in liters (L).
5. Perform the multiplication to find the volume in liters (L).

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 correctly 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.