How to find density mass and volume

So, in this video, like to go over how to calculate density, mass, or volume. First, you can see have triangle here, and the formula for density is equal to density is equal to mass divided by volume. And you can use this triangle, and remember you're going to the DMV, so it's going to be and this is density. So, if you need density, it's mass over volume. If you need volume, it's mass divided by density. And then, if you need mass, it's density by volume. And I'll work an example for each of these, okay? So, the first example is this. Let me move this up just little bit. Triangle will go out of the way, but I'll draw smaller ones. Is this. cake has mass of 500 and volume of 250 cm cubed. What is the density of the cake? So, in the first example, I'm going to draw very small Remember, it's And know that's little small, but think it'll work. So, let's see what we have. we're looking for density is equal to We have the mass of 500 so the mass is here, so it's going to go on top. 500 And then, volume, which is the the right here, is 2500. And that is centimeters cubed. And so, when you divide 500 by 2500, that equals .2. 2, and you're left with grams per centimeters cubed. Okay, that's the first example of density, okay? The next next example, again, I'm going to draw little triangle. It has We're looking for solid block of wood has mass of 6 and volume of 12 cm cubed. What is the density of the block of wood? So, again, I'm looking for density. The mass, which goes here, is 6 grams. The volume is 12 cm cubed. When you divide 6 by 12, that gives you .5. And again, you have grams per centimeters cubed. Okay? So, now, we'll see how this triangle can come into business when we work couple other type of examples. So, let me pull this down, and it says this. The density of substance is 8 per centimeters cubed. If sample of the substance has volume of 25 cm cubed, what is its mass? So, again, I'm going to go to the DMV. Okay? And am looking for mass. Mass is here. So, it's just density times the volume. So, I'm going to put mass is equal to times Now, all have to do is plug in the numbers. Well, know that it says the density is 8 grams per centimeters cubed times and the volume is 25 cm cubed. Okay? And so, when you multiply that, that gives you 8 times 25 is 200. Now, what do we do with our units, okay? Well, if you want to look at this, this is grams over centimeters cubed, and this would be centimeters cubed over one. These cancel, and you're left with grams over one or grams. So, it becomes 200 And make sure that the units are done properly. And finally, you have weight with mass of 820 The density of the weight is 5 per centimeters cubed. What is the volume? Again, we'll go back to this. We're trying to find volume, and it's mass divided by density. So, is equal to over So, let's just plug in the numbers, okay? have mass of 820 grams. have density of five grams per centimeters cubed. Okay? And then, when divide 820 by five, that equals 164. The grams cancel, and I'm left with centimeters cubed. So, the volume is 164 cm cubed. So, there we go. Remember, you go to the DMV. The and that's density, mass, volume. And you can calculate all three of those using the triangle. Thanks for watching, and Memory Math uploads new math and science video every day. Please subscribe and share.