A shipping box has a length of 7.00 in., a width of 6.00 in., and a height of 4.00 in. (2.3, 2.6)
a. What is the length of the box, in centimeters?

Verified step by step guidance

1. Identify the given length of the box in inches, which is 7.00 inches.
2. Recall the conversion factor between inches and centimeters: 1 inch = 2.54 cm.
3. Set up the conversion equation: Length in cm = Length in inches × Conversion factor.
4. Substitute the given length and conversion factor into the equation: Length in cm = 7.00 inches × 2.54 cm/inch.
5. Perform the multiplication to find the length in centimeters.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another. In this case, converting inches to centimeters is necessary, as the question asks for the length of the box in centimeters. The conversion factor is that 1 inch is equal to 2.54 centimeters, which is essential for accurately translating the dimensions.

Volume and Dimensions of a Box

Understanding the dimensions of a box is crucial for various applications, including shipping and storage. The dimensions given (length, width, height) help determine the volume and capacity of the box. In this question, the focus is on the length, which is one of the three dimensions that define the box's size.

Measurement Systems

Measurement systems, such as the Imperial system (used in the U.S.) and the Metric system (used in most other countries), are essential for understanding how to interpret and convert measurements. The question involves both systems, as it provides dimensions in inches and requires the answer in centimeters, highlighting the importance of familiarity with both systems in practical applications.