The driver weighs about 160 lbs.
a) What is his body weight in kg?
b) What is his body volume in mL? (1 lb = 0.45 kg) (1 kg = 1000 mL)
The Correct Answer and Explanation is:
To convert the driver’s weight from pounds to kilograms and then to milliliters, we can follow a straightforward mathematical process.
a) Converting Weight to Kilograms
- Given weight in pounds: 160 lbs
- Conversion factor: 1 lb = 0.45 kg
To convert pounds to kilograms, we multiply the weight in pounds by the conversion factor:
[
\text{Weight in kg} = \text{Weight in lbs} \times \text{Conversion factor} = 160 \, \text{lbs} \times 0.45 \, \frac{\text{kg}}{\text{lb}}
]
Calculating this gives:
[
\text{Weight in kg} = 160 \times 0.45 = 72 \, \text{kg}
]
b) Converting Weight to Volume in Milliliters
Next, we can convert the weight in kilograms to volume in milliliters. Since 1 kg of water is equivalent to 1000 mL, we can use the following relationship:
[
\text{Volume in mL} = \text{Weight in kg} \times 1000 \, \frac{\text{mL}}{\text{kg}}
]
Using the weight we calculated:
[
\text{Volume in mL} = 72 \, \text{kg} \times 1000 \, \frac{\text{mL}}{\text{kg}} = 72000 \, \text{mL}
]
Summary of Answers
- a) The driver’s weight in kilograms is 72 kg.
- b) The driver’s body volume is 72,000 mL.
Explanation
The conversion of weight from pounds to kilograms involves using a specific conversion factor that reflects the relationship between these units. In this case, knowing that 1 pound equals 0.45 kilograms allows for a straightforward multiplication to find the equivalent weight in kilograms.
The volume conversion relies on the fact that 1 kg of water is approximately equal to 1000 mL. This relationship is useful in fields like medicine and nutrition, where understanding the correlation between weight and volume can inform dosing, hydration, and dietary needs.
For example, if assessing a patient’s fluid intake, knowing their body volume in mL can guide appropriate fluid replacement strategies. Understanding these conversions enhances practical applications in healthcare and wellness, allowing professionals to make informed decisions based on a patient’s body weight and volume.