Which of the following is the best estimate of the number of centimeters (cm) in 9 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A.
775 cm
B.
780 cm
C.
823 cm
D.
830 cm
The correct answer and Explanation is :
To solve this, let’s break the problem into steps and convert yards to centimeters step by step.
Step 1: Convert Yards to Feet
We know that:
- 1 yard = 3 feet
Thus, 9 yards would be:
[ 9 \text{ yards} \times 3 \text{ feet/yard} = 27 \text{ feet} ]
Step 2: Convert Feet to Inches
We also know:
- 1 foot = 12 inches
So, 27 feet would be:
[ 27 \text{ feet} \times 12 \text{ inches/foot} = 324 \text{ inches} ]
Step 3: Convert Inches to Centimeters
Finally, we know:
- 1 inch = 2.54 cm
So, 324 inches would be:
[ 324 \text{ inches} \times 2.54 \text{ cm/inch} = 822.96 \text{ cm} ]
Step 4: Choose the Best Estimate
The result, 822.96 cm, is very close to 823 cm. Therefore, the best estimate is:
Answer: C. 823 cm
Explanation:
To convert 9 yards to centimeters, we used a step-by-step approach:
- Convert 9 yards to feet using the conversion factor 1 yard = 3 feet.
- Convert feet to inches using the conversion factor 1 foot = 12 inches.
- Convert inches to centimeters using the conversion factor 1 inch = 2.54 cm.
After performing all the conversions, we found that 9 yards is approximately 823 centimeters. This step-by-step approach ensures accuracy, as each conversion is based on well-established equivalencies. Therefore, the best estimate from the options provided is 823 cm.