body fat has a density of 0.940g/mL and 2.60L of fat are removed, how many pounds of fat were removed?

Answer 1

Technically, it depends on local gravity: "grams" is used to express mass; "pounds" is used to express weight.

If your instructor cared at all for science, he or she would know this and not pose such a ridiculous question; however, I've assumed you're stuck in a class and need the answer for a grade. In other words, it's not your fault.

Ignoring "significant digits," work the problem like this:

0.940 g/mL x 1000 mL/L = 940 g/L

940 g/L x 2.60 L = 2,444 g

Using a conversion table that assumes an arbitrary gravitational constant, we observe that 453.59237 grams correlates to 1 pound. Therefore:

(2,444 g) / (453.59237 g/lb) = 5.3880976877984080728694797048725 pounds (approximately)

5.39 pounds should suffice for an acceptable answer.

Answer 2

assume that this is taking place on earth and we will assume that we want the answer expressed as mass in grams.

This problem can be solved using the unit factor method.
A unit factor is a fraction that has a value of 1. A unit factor is made from any equality. The unit factor is made by putting the right side of the equality on the top and the left side on the bottom. OR vice versa , left side of the equality on the top and the right side on the bottom. lets review some equalities that relate to this problem.
1 liter = 1000 ml
454 g = 1 pound
your problem also states an equality. It is telling you that 0.940 grams of fat are the same as 1 ml of fat

0.940 g of fat = 1 ml of fat

start by expressing the volume of fat you are asked to convert as a fraction, then arrange unit factors in such a way that the units cancle out., you must decide how to make and arrange the factors.

2.60 L / 1

1000 ml / 1L

0.940 g / 1ml

1 pound / 454 g

... = 5.38 pounds


this program will not let me set up the fractions in a clear way. so on paper set the fractions up and when you multiply you will see that the units cancle and you get your answer of 5.38 pounds