A man who is 5ft and weighs 160lb. What is his height in centimeters and his mass in kilograms?
A) (152.4 cm, 72.57 kg)
B) (160 cm, 73.03 kg)
C) (152.4 cm, 72.73 kg)
D) (160 cm, 72.57 kg)
The Correct Answer and Explanation is:
To convert the height and mass from imperial units (feet and pounds) to metric units (centimeters and kilograms), we use the following conversion factors:
- Height Conversion:
- 1 foot = 30.48 centimeters
- 1 inch = 2.54 centimeters Since the man’s height is 5 feet, we first convert feet to centimeters:
[
5 \, \text{ft} \times 30.48 \, \text{cm/ft} = 152.4 \, \text{cm}
] Therefore, the height of the man is 152.4 cm.
- Mass Conversion:
- 1 pound (lb) = 0.453592 kilograms (kg) The man weighs 160 pounds, so we convert his weight to kilograms:
[
160 \, \text{lb} \times 0.453592 \, \text{kg/lb} = 72.57472 \, \text{kg}
]
Rounding this to two decimal places, we get 72.57 kg.
Answer:
The correct answer is A) (152.4 cm, 72.57 kg).
Explanation:
The conversions above show how to change the height and weight from imperial units to metric units. First, we used the standard conversion factor for feet to centimeters, and then for pounds to kilograms. After rounding the mass to two decimal places, we confirmed the man’s height as 152.4 cm and his weight as 72.57 kg. This answer corresponds to option A.
Understanding these conversions is important, especially in the context of medical and scientific measurements where the metric system is often used. Accurate conversion between measurement units is crucial to ensure consistency, especially when dealing with clinical data such as patient height and weight for BMI calculations, medication dosages, or treatment plans.
In summary:
- Height: 5 feet = 152.4 cm
- Mass: 160 pounds = 72.57 kg
Thus, the correct answer is A.