Some athletes have as little as 3.0% body fat. If such a person has a body mass of 80 kg, how many pounds of body fat does that person have Express your answer using two significant figures.
To find the pounds of body fat, we need to know the amount of body fat as a percentage of the body mass and then convert the body mass from kg to pounds.
If the person has 3.0% body fat, it means their body fat is 3.0% of their body mass.
Thus, the body fat is (3.0/100) * 80 kg = 2.4 kg.
To convert the body mass from kg to pounds, we know that 1 kg is approximately equal to 2.20462 pounds.
Therefore, the person's body mass in pounds is 80 kg * 2.20462 pounds/kg ≈ 176.3696 pounds.
Finally, to find the amount of body fat in pounds, we multiply the body fat in kg by the conversion factor:
2.4 kg * 2.20462 pounds/kg ≈ 5.2911 pounds.
Rounding to two significant figures, the person has approximately 5.3 pounds of body fat.
To find the weight of body fat in pounds, we can use the following steps:
Step 1: Convert the body mass from kilograms to pounds.
1 kilogram (kg) is equal to 2.20462 pounds (lb).
80 kg * 2.20462 lb/kg = 176.3696 lb
Step 2: Calculate the weight of body fat.
If the athlete has 3.0% body fat, it means the remaining 97.0% is not fat.
Weight of body fat = 3.0% * 176.3696 lb = 0.03 * 176.3696 lb = 5.290088 lb
Therefore, the person with a body mass of 80 kg and 3.0% body fat would have approximately 5.3 pounds of body fat.
To calculate the pounds of body fat, we first need to convert the body mass from kilograms to pounds. Then, we can use the body fat percentage to find the actual weight of body fat.
1. Convert the body mass from kilograms to pounds:
- There are approximately 2.20462 pounds in one kilogram.
- Multiply the body mass in kilograms by 2.20462 to get the body mass in pounds.
- In this case, 80 kg * 2.20462 lb/kg = 176.3696 lb. Round this to two significant figures, which gives us 180 lb.
2. Calculate the weight of body fat:
- If the person has 3.0% body fat, it means that 3.0% of their total body mass is fat.
- Calculate 3.0% of 180 lb by multiplying 180 lb by 0.03 (3.0% in decimal form).
- 180 lb * 0.03 = 5.4 lb.
So, a person with a body mass of 80 kg (approximately 180 lb) and 3.0% body fat would have around 5.4 pounds of body fat.