What does a height of 5 feet 8 inches equivalent to in meters? (1 foot = 12 inches; 1 inch = 2.54 cm; 1 meter = 100 cm) 173 cm 223 cm 177 cm 207 cm
The Correct Answer and Explanation is:
Step 1: Convert feet to inches
- 1 foot = 12 inches
- 5 feet = 5 × 12 = 60 inches
Step 2: Add the extra inches
- 5 feet 8 inches = 60 inches + 8 inches = 68 inches
Step 3: Convert inches to centimeters
- 1 inch = 2.54 cm
- 68 inches = 68 × 2.54 = 172.72 cm
Step 4: Convert centimeters to meters
- 1 meter = 100 cm
- 172.72 cm ÷ 100 = 1.7272 meters
Final Answer: 5 feet 8 inches = 1.7272 meters ≈ 173 cm
From the options given:
- 173 cm ✅ (correct)
- 223 cm ❌
- 177 cm ❌
- 207 cm ❌
Explanation
The process of converting height from feet and inches to meters involves a clear understanding of basic unit conversions. The imperial system (feet and inches) is commonly used in the United States, while most countries use the metric system (meters and centimeters) for height and distance. To switch between the two systems, you need accurate conversion factors: 1 foot equals 12 inches, and 1 inch equals 2.54 centimeters. Knowing that 100 centimeters make up 1 meter completes the bridge between the two systems.
In this case, a person who is 5 feet 8 inches tall is first converted entirely into inches. Since 5 feet equals 60 inches, and there are 8 more inches, the total is 68 inches. Next, each inch is multiplied by 2.54 to convert it to centimeters. So, 68 inches becomes 172.72 cm. Finally, dividing by 100 converts centimeters into meters, resulting in approximately 1.727 meters.
For practical purposes and easier communication, heights are often rounded to the nearest whole centimeter, making 172.72 cm roughly 173 cm. Among the options provided, 173 cm is the correct and closest match. This is a common height in many countries and is considered slightly above average for women and near average for men in many populations. Understanding these conversions is helpful in academic, medical, athletic, and international contexts where different systems are used.
