Final answer:
To find the volume gained by a person who gains 12.0 lbs of pure fat, you first convert the weight to grams and then divide by the density of human fat to get the volume in cm³.
Step-by-step explanation:
To calculate the volume gained by a person who gains 12.0 lbs of pure fat, we need to use the formula:
Volume = Mass / Density
First, we need to convert the mass from pounds to grams. Since 1 pound is equal to 453.592 grams, the mass of 12.0 lbs is 5443.104 grams.
Next, we can substitute the values into the formula:
Volume = 5443.104 g / 0.918 g/cm³
Dividing these values gives us a volume of approximately 5936.95 cm³.
Therefore, a person who gains 12.0 lbs of pure fat gains approximately 5936.95 cm³ in volume.
The correct answer is obtained by first converting the weight gain from pounds to grams and then dividing the mass by the density of human fat to find the volume. To convert pounds to grams, we use the conversion factor 1 pound = 453.592 grams. Thus, 12.0 lbs is equivalent to 12.0 x 453.592 grams. Then, we divide this mass by the density of human fat, which is 0.918 g/cm3. The calculated volume is the amount of space the gained fat would occupy.
Conversion from pounds to grams: 12.0 lbs x 453.592 g/lb = 5443.104 g
Calculation of volume: Volume = Mass / Density = 5443.104 g / 0.918 g/cm3
After performing the division, we obtain the volume in cubic centimeters (cm3) that indicates the increase in body volume due to the gained fat.