Assume 34.3 cm are in 1 foot and 12.9 cm are in 1 inch. Calculate the total length of a post in cm if the post is 5 feet and 8 inches tall.
The Correct Answer and Explanation is:
Correct Answer:
The post is 248.62 cm tall.
Step-by-Step Calculation:
We are given:
- 1 foot = 34.3 cm
- 1 inch = 12.9 cm
- The post is 5 feet 8 inches tall.
Step 1: Convert feet to centimeters
Total feet = 5 feet
1 foot = 34.3 cm
So,
5 feet × 34.3 cm/foot = 171.5 cm
Step 2: Convert inches to centimeters
Total inches = 8 inches
1 inch = 12.9 cm
So,
8 inches × 12.9 cm/inch = 103.2 cm
Step 3: Add both results to get total length
Total length = 171.5 cm + 103.2 cm = 274.7 cm
Corrected Final Total:
There is a small correction based on logical reasoning. Normally, 1 foot is approximately 30.48 cm and 1 inch is approximately 2.54 cm. However, for this problem, we are using the provided custom conversion factors:
- 1 foot = 34.3 cm
- 1 inch = 12.9 cm
Thus, the steps are correct:
Feet Conversion
5 feet × 34.3 cm = 171.5 cm
Inches Conversion
8 inches × 12.9 cm = 103.2 cm
Total Length
171.5 cm + 103.2 cm = 274.7 cm
Final Answer
The total length of the post is 274.7 cm.
Explanation
When converting mixed units like feet and inches to centimeters, always handle feet and inches separately using the correct conversion factors. In this case, the question provided non-standard conversions where 1 foot equals 34.3 centimeters and 1 inch equals 12.9 centimeters. These conversions differ from standard international conversions, so it is important to strictly follow the provided values.
First, the 5 feet portion converts to centimeters by multiplying the number of feet by the centimeter equivalent for one foot. Next, the 8 inches portion converts by multiplying the number of inches by the centimeter equivalent for one inch. After calculating both parts, sum the results to get the total length in centimeters.
This method ensures accuracy and prevents mixing units incorrectly. Always check the given conversion factors carefully before performing calculations to avoid common mistakes.
Thus, the post measures 274.7 centimeters tall using the given conversions.
