10 mL cm conversion factor conversion ratio computation for the answer
The Correct Answer and Explanation is:
Answer:
To convert 10 milliliters (mL) to cubic centimeters (cm³), we use the conversion factor:
1 mL = 1 cm³
So,
10 mL × (1 cm³ / 1 mL) = 10 cm³
Final Answer: 10 mL = 10 cm³
Explanation:
Understanding the relationship between milliliters and cubic centimeters is crucial in science, engineering, and daily measurements. Both milliliters (mL) and cubic centimeters (cm³) are units of volume. A milliliter is commonly used in liquid measurements while a cubic centimeter is often used in measuring the volume of solid objects or in medical dosing. Despite these differences in usage, they are exactly equivalent in value.
The reason for this equivalence lies in how both units are defined. The liter is a metric unit of volume and is defined as the volume of a cube that is 10 centimeters on each side. That means one liter equals 1,000 cubic centimeters (10 cm × 10 cm × 10 cm = 1,000 cm³). A milliliter is defined as one-thousandth of a liter. Therefore, 1 mL = 1/1000 L = 1 cm³. This is the fundamental conversion factor.
To convert from milliliters to cubic centimeters, you multiply the volume in milliliters by the ratio 1 cm³ / 1 mL. Since the ratio is 1 to 1, the numerical value does not change. For example, converting 10 mL to cm³ means multiplying 10 by 1, resulting in 10 cm³.
This straightforward conversion is commonly used in medical fields, chemistry, and physics. For example, when administering medications, a dosage of 10 mL of liquid medicine is exactly 10 cm³ in volume. This allows professionals in different fields to communicate and work with volume measurements using the units they are most familiar with while knowing the conversion is simple and accurate.
In summary, 10 mL is equal to 10 cm³ because both units measure the same quantity and are defined to be exactly equivalent.
