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Chapter 9: Problem 27

Convert each measurement as indicated 2 yd \(1 \mathrm{ft}=\) _______ in

Short Answer

Expert verified
2 yd is equivalent to 72 in.

Step by step solution

01

Convert Yards to Feet

First, understand that 1 yard is equivalent to 3 feet. Therefore, to convert 2 yards to feet, you multiply by 3. \[ 2 \text{ yd} \times 3 \text{ ft/yd} = 6 \text{ ft} \] So, 2 yards is equal to 6 feet.
02

Convert Feet to Inches

Next, convert the feet measurement to inches. Since 1 foot is 12 inches, you multiply the number of feet by 12 to find the inches. \[ 6 \text{ ft} \times 12 \text{ in/ft} = 72 \text{ in} \] Thus, 6 feet equals 72 inches.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Yards to Feet Conversion
When converting yards to feet, the relationship between the two measurements is vital, as it sets the foundation for precisely changing the units. A yard is larger than a foot, with the ratio set at 1 to 3.
This means that every yard equals 3 feet. Knowing this helps with exercises involving length measurement conversions.
  • For every 1 yard, you have 3 feet.
  • This conversion factor is constant, making calculations straightforward.
For example, to determine the feet value for 2 yards, simply multiply 2 by 3. The calculation is: \[ 2 \times 3 = 6 \] Thus, 2 yards equals 6 feet. Understanding this relationship is crucial for solving measurement-related problems, particularly in fields where precision matters, such as construction or tailoring.
Feet to Inches Conversion
The conversion between feet and inches is another fundamental skill in the realm of measurement conversions. Since 1 foot is equivalent to 12 inches, this conversion factor simplifies the process vastly.
  • Each foot contains 12 inches.
  • This constant factor makes switching between feet and inches effortless.
Consider you have 6 feet that need to be converted into inches. You multiply the number of feet by 12, giving: \[ 6 \times 12 = 72 \] Thus, 6 feet translates into 72 inches. Such conversions are essential in daily tasks, from measuring heights to tailoring fabric lengths, as they provide a finer resolution of measurement.
Measurement Conversion Process
Executing a measurement conversion is a structured process, breaking it down into manageable steps ensures accuracy and ease. When tasked with a conversion challenge:
  • First, identify the units involved (e.g., yards to feet).
  • Then, apply the known conversion factor (like multiplying yards by 3 to get feet).
  • Proceed to use another conversion factor if required (such as feet to inches).
Applying this sequential method guarantees accurate results. For instance, converting from yards to inches involves first changing yards to feet before moving from feet to inches. This two-step process makes the math simpler and the outcome precise. By understanding and following these basic steps, students can confidently tackle a wider range of real-world measurement problems, enhancing their problem-solving skills.

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Most popular questions from this chapter

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