Which measure is equivalent to 126 in.? 1 ft = 12 in. 1 yd = 3 ft 3 yd 3.5 yd 10.5 yd 31.5 yd Assessment navigation
The Correct Answer and Explanation is:
To convert 126 inches to yards, we need to use the given conversion factors:
- 1 foot = 12 inches
- 1 yard = 3 feet
Step 1: Convert Inches to Feet
126 inches÷12 inches per foot=10.5 feet126 \text{ inches} \div 12 \text{ inches per foot} = 10.5 \text{ feet}
Step 2: Convert Feet to Yards
10.5 feet÷3 feet per yard=3.5 yards10.5 \text{ feet} \div 3 \text{ feet per yard} = 3.5 \text{ yards}
✅ Final Answer: 3.5 yards
Explanation:
To determine which measure is equivalent to 126 inches, we use unit conversions. The problem provides two essential facts:
- There are 12 inches in a foot, and
- There are 3 feet in a yard.
This means we can first convert from inches to feet, and then from feet to yards. Let’s go through this step-by-step.
First, divide the total inches (126) by the number of inches in a foot (12). That gives: 126÷12=10.5 feet126 \div 12 = 10.5 \text{ feet}
So, 126 inches equals 10.5 feet.
Next, convert feet to yards. Since there are 3 feet in a yard, we divide: 10.5÷3=3.5 yards10.5 \div 3 = 3.5 \text{ yards}
Therefore, 126 inches is equal to 3.5 yards.
Understanding this conversion is helpful not just in math class but in real-life scenarios, such as measuring fabric, calculating distances in construction, or converting measurements for travel and sports.
Now let’s check the multiple-choice options:
- 3 yd
- 3.5 yd ✅
- 10.5 yd
- 31.5 yd
The correct and only accurate option is 3.5 yards. It’s important to go step by step and not skip conversions, especially when working with compound units. Unit conversion is a fundamental math skill that builds understanding of measurement and precision.
Always remember: Inches → Feet → Yards, converting using the ratios 12 inches = 1 foot and 3 feet = 1 yard.
