A patient is 5 feet 8 inches tall and weighs 178 lbs. What is the patient’s height in centimeters and weight in kilograms?
A 169 cm, 81 Kg
B 170 cm, 178 lbs
C 170 cm, 81 Kg
D 68 cm, 178 lbs
The correct answer and explanation is :
To convert the patient’s height and weight to the requested units, we need to use the following conversion formulas:
- Height conversion:
- 1 inch = 2.54 cm
- 1 foot = 12 inches
- The patient’s height is 5 feet 8 inches. First, we convert the feet to inches:
[
5 \text{ feet} \times 12 \text{ inches/foot} = 60 \text{ inches}
]
Then, add the extra 8 inches:
[
60 \text{ inches} + 8 \text{ inches} = 68 \text{ inches}
]
Now, convert inches to centimeters:
[
68 \text{ inches} \times 2.54 \text{ cm/inch} = 172.72 \text{ cm}
]
So, the height is approximately 173 cm when rounded.
- Weight conversion:
- 1 pound = 0.453592 kg
- The patient’s weight is 178 lbs.
To convert pounds to kilograms:
[
178 \text{ lbs} \times 0.453592 \text{ kg/lb} = 80.74 \text{ kg}
]
So, the weight is approximately 81 kg when rounded.
Analyzing the options:
- Option A: 169 cm, 81 Kg – The height does not match (169 cm is incorrect).
- Option B: 170 cm, 178 lbs – The weight is incorrect (no conversion from pounds to kilograms).
- Option C: 170 cm, 81 Kg – This is close, with the height rounding to approximately 173 cm, so this answer is reasonable.
- Option D: 68 cm, 178 lbs – The height is too small and the weight is unconverted.
The correct answer is C: 170 cm, 81 Kg, as it closely matches the patient’s converted measurements.
This conversion process involves simple unit conversions, and understanding these is essential in healthcare for accurate medication dosages, nutrition assessments, and growth tracking in different units across countries.