Answer: See below
Step-by-step explanation:
To solve for V, we want to first multiply both sides by V, then divide by D.
[tex]D=\frac{M}{V}[/tex] [multiply both sides by V]
[tex]DV=M[/tex] [divide both sides by D]
[tex]V=\frac{M}{D}[/tex]
That is the correct answer.
You cannot multiply both sides by M because that would give you M². The whole point is to want to isolate V. In the case of multiplying, you are actually adding more M to the same side. I will demonstrate what it will look like.
[tex]D=\frac{M}{V}[/tex] [multiply both sides by M]
[tex]MD=\frac{M^2}{V}[/tex]
Now, you can multiply both sides by M, and still get the right answer, but that just takes more unnecessary steps. When you say "D=M/V so M/V*M cancels out M snd D*M is Dm=V", that is incorrect. M/V*M DOES NOT cancel out M. It create M² instead.
I hope this answered your question. Let me know if you have anymore questions in the comments.
Answer:
Step-by-step explanation:
The answer is no!
Your first result is the correct one. I think what that the problem is units
density is defined as mass / volume
so when you write the formula, you get
grams / cm^3
Now take a look at what you want to do. What are the units.
D = mass / volume
m = mass
If you put them together the way you did, you get
grams * grams which gives grams^2 / cm^3
=====
cm^3
gram^2/cm^3 gives no known result. There is nothing in the physical world defined that way
Sorry to disappoint you, but you have to stick to the tried and true.
