[Video] Q5: The density of an object is equal to the mass of the object divided by the volume of the object. what is the volume, in milliliters, of an object with a mass of 24 grams and a density of 3 grams per milliliter?

Explanation for Question 5 From the Math (Calc) Section on the Official Sat Practice Test 4

Now we're onto question number five, which says that 2 the density of an object is equal to the mass of the object divided 3 by the volume. So let's write that as an equation. 4 We can write, here we go. Density is equal to mass divided by the 5 volume. And so we want to know what is the volume, 6 right? We're trying to solve for volume of an object with a mass of 7 24 grams. So we now know that M is equal to 24 8 and a density of three grams. And our density is three, 9 right? So I just need to essentially take this equation and plug it in 10 where I have three is now equal to my mass 24 divided by volume. 11 Now to solve this equation, I need to cross multiply. 12 So I'll write the threes being over a one, 13 and then I'll multiply my numerators times. 14 My denominators right now that V times three, 15 that's three V 24 times one that's 24. 16 And now I'll simply solve for volume, which is what I'm interested in. 17 Right? So I'll divide both sides by three and 24 divided by three, 18 gives me an answer with a volume of eight, 19 making our best answer B.