A statue weighs 240 pounds. What is the mass in kilograms?
The correct answer and explanation is :
To convert the weight of the statue from pounds to kilograms, we use the standard conversion factor:
1 pound = 0.453592 kilograms
Step-by-Step Calculation:
Given:
- Weight = 240 pounds
- Conversion factor = 0.453592 kilograms per pound
Now multiply:
[
240 \, \text{pounds} \times 0.453592 \, \left(\frac{\text{kg}}{\text{lb}}\right) = 108.86208 \, \text{kg}
]
Final Answer:
108.86 kilograms (rounded to two decimal places)
Explanation (300+ words):
Understanding the relationship between pounds and kilograms is essential for science, health, travel, and global communication. In the metric system, which is widely used around the world, mass is measured in kilograms (kg), while in the United States customary system, pounds (lb) are used more commonly. When working in international contexts or with scientific data, it’s often necessary to convert between these units.
To do this accurately, a conversion factor is used. The precise value for this conversion is:
1 pound = 0.45359237 kilograms
This factor allows us to transform a measurement given in pounds to an equivalent value in kilograms. The conversion factor is derived from the definition of a pound as a unit of force and the kilogram as a unit of mass, standardized under international agreements.
In the case of this statue weighing 240 pounds, multiplying by 0.453592 gives us the equivalent mass in kilograms. This tells us how much mass the object would have regardless of the gravity acting on it, because unlike weight (which depends on gravity), mass is a constant property of matter.
It’s worth noting that the weight of an object may change depending on the planet it’s on due to gravity differences, but its mass in kilograms would remain unchanged. That makes mass a more universal measure, which is why scientists prefer kilograms for consistency.
To summarize:
- Weight (pounds) tells how heavy something is on Earth.
- Mass (kilograms) tells how much matter is present.
- Converting 240 pounds gives 108.86 kilograms, using the standard and widely accepted conversion factor.