Convert the following as indicated: 7.5 ml to tsp 5 in to cm 440 lbs to kg 2.5 cc to ml 3 hr to min
The Correct Answer and Explanation is:
Here are the conversions for each of the measurements:
1. 7.5 ml to teaspoons (tsp)
The conversion factor between milliliters (ml) and teaspoons (tsp) is:
- 1 teaspoon (tsp) = 4.92892 ml.
To convert 7.5 ml to teaspoons, divide by the conversion factor: 7.5 ml×(1 tsp4.92892 ml)=1.52 tsp.7.5 \, \text{ml} \times \left( \frac{1 \, \text{tsp}}{4.92892 \, \text{ml}} \right) = 1.52 \, \text{tsp}.7.5ml×(4.92892ml1tsp)=1.52tsp.
So, 7.5 ml = 1.52 teaspoons.
2. 5 inches to centimeters (cm)
The conversion factor between inches and centimeters is:
- 1 inch = 2.54 cm.
To convert 5 inches to centimeters, multiply by the conversion factor: 5 inches×2.54 cm/inch=12.7 cm.5 \, \text{inches} \times 2.54 \, \text{cm/inch} = 12.7 \, \text{cm}.5inches×2.54cm/inch=12.7cm.
So, 5 inches = 12.7 cm.
3. 440 lbs to kilograms (kg)
The conversion factor between pounds and kilograms is:
- 1 pound (lb) = 0.453592 kg.
To convert 440 pounds to kilograms, multiply by the conversion factor: 440 lbs×0.453592 kg/lb=199.58 kg.440 \, \text{lbs} \times 0.453592 \, \text{kg/lb} = 199.58 \, \text{kg}.440lbs×0.453592kg/lb=199.58kg.
So, 440 lbs = 199.58 kg.
4. 2.5 cubic centimeters (cc) to milliliters (ml)
The conversion factor between cubic centimeters and milliliters is:
- 1 cc = 1 ml.
Since 1 cubic centimeter is equal to 1 milliliter, we can directly state: 2.5 cc=2.5 ml.2.5 \, \text{cc} = 2.5 \, \text{ml}.2.5cc=2.5ml.
So, 2.5 cc = 2.5 ml.
5. 3 hours to minutes (min)
The conversion factor between hours and minutes is:
- 1 hour = 60 minutes.
To convert 3 hours to minutes, multiply by the conversion factor: 3 hr×60 min/hr=180 min.3 \, \text{hr} \times 60 \, \text{min/hr} = 180 \, \text{min}.3hr×60min/hr=180min.
So, 3 hours = 180 minutes.
Explanation:
Each of these conversions is based on standard metric and imperial unit relationships, where the conversion factors are known. For example, to convert between milliliters and teaspoons, we use the well-established factor of 1 teaspoon being approximately equal to 4.92892 milliliters. Similarly, the conversion from inches to centimeters uses the exact factor of 2.54 cm per inch, which is a defined relationship. The pound to kilogram conversion uses the exact ratio of 0.453592 kilograms per pound, which is a precise scientific value.
When converting cubic centimeters to milliliters, the relationship is straightforward, as both units are equivalent in volume measurement. Lastly, hours to minutes is a simple multiplication by 60, a well-known time conversion factor.
These conversions allow us to move between different units of measurement, and knowing these factors is essential for working in various fields like science, cooking, and general problem solving.
