4th grade (Eureka Math/EngageNY)
Metric system: units of volume
Learn about metric units of volume or capacity such as milliliter and liter. Created by Sal Khan.
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- How to convert cubic meters to micrometers(14 votes)
- 1 micrometer=1e-18 cubic meters
Thanks for the likes(23 votes)
- is there anything like a ton in the metric system?(12 votes)
- Good question!
A regular ton is an English (U.S.), non-metric unit. There is a metric ton called a tonne, which is 1,000 kilograms (or equivalently 1 million grams, or 1 megagram). One tonne is approximately 1.1 regular tons.
Have a blessed, wonderful day!(13 votes)
- So it would be accurate to call a liter a 'cubic decimeter' just like people sometimes measure things as being measured in cubic centimeters, right?
Thanks in advance!(4 votes)
- Yes, that is correct!
Since there are 10 centimeters in a decimeter, there are 10^3 = 1000 cubic centimeters in a cubic decimeter.
Since a milliliter is defined as a cubic centimeter, we conclude that a cubic decimeter is 1000 milliliters, which equals a liter!
Have a blessed, wonderful day!(8 votes)
- at3:15why are there so many measurements and most of them are not used as much as others.(7 votes)
Nice question! It's because it's US and Imperial measurements!
- What is the mass of and orange I’m stuck(6 votes)
- 9 grams ugyukunfctgyidtyi(2 votes)
- 1. List at least two metric units that you used during the measurement
activity to represent volume.(5 votes)
- I want to know why a milliliter is 1000 liters and not 1000000 liters.(2 votes)
- The prefix "milli-" represents 1 thousandth.
So 1 "milli"liter is 1/1000 liter, not 1000 liter (also not 1 million liter).(7 votes)
- how did you get the answer 1/1000 in that problem(4 votes)
- its simple you just play some fortnite until you forget completely about math(3 votes)
- how much mililiters are in 9.7 liters.(3 votes)
- 9,070 hjkgrehsngryeiskgmhr(4 votes)
- Which is the smallest measurment than the picometer and which is the largest than the kilometer or a mile.(2 votes)
- A femtometer is 1000 times smaller than a picometer. 1000 times smaller than a femtometer is an attometer. Still smaller we have zeptometer and yoctometer. A yoctometer is currently the smallest unit name accepted by the international standard.
Going ever bigger, we have similar names: a kilometer is 1000 meters. A megameter is 1000 kilometers. Then we have gigameter, terameter, petameter, exameter, zettameter, and yottameter.
Many of these are not used very much. Instead of saying "1 zeptometer", many scientists will just say "10^-21 meter" - this is scientific notation, which you will learn about later.(1 vote)
Let's think a little bit about the metric system units for volume, or essentially how much space something is taking up in three dimensions. So the base unit in the metric system for volume is the liter. And there's a couple of ways that you can visualize a liter. One way you could think about a liter is if you took a cube that is 10 centimeters deep, 10 centimeters wide, and 10 centimeters tall, then this amount of space that you're taking up, this volume is 1 liter. So this right over here is 1 liter. Another way to connect it to our everyday lives is you've probably gone and bought, or your parents have bought, a 2-liter bottle of something. Oftentimes, it's soda. So those 2-liter bottles are-- as I just mentioned, these are 2 liters. So let me make my best attempt to draw what those bottles look like. They look something like this. At least in the US, oftentimes soda, and other things, will be sold in these 2-liter bottles. So if you take half of this, you are looking at a liter. So liter would be about half of this. So if it's half full, a liter would be about that much. And hopefully, that is consistent or that makes sense relative to this 10 centimeter by 10 centimeter by 10 centimeter cube. Now, if you want to measure things that are a lot smaller than a liter, the typical unit used-- and obviously in the metric system, you can always use the prefixes deci, centi. But the one that's most typically used is the milliliter-- milli-- the milliliter. And we've already seen the prefix milli. It means 1/1,000. So this means 1/1,000 of a liter. Or another way of thinking about it is 1 liter is equal to 1,000 milliliters. And if you wanted to visualize what a milliliter looks like, imagine taking a cube. And instead of making it 10 centimeters on each dimension, make it only 1 centimeter in each dimension. So 1 centimeter wide, 1 centimeter deep, and 1 centimeter high, and then you're looking at a milliliter. And if you want to think about the type of things that are measured in milliliters, you might think things about dosage of medicine. So for example, a typical teaspoon that you might see in your cabinet is going to be a little bit over 4 milliliters, almost 5 milliliters. So that might be good for medicine dosage or maybe small ingredients in some type of a recipe. If you want to go larger than a liter-- and once again, you could use all the metric prefixes. You could use deciliter. You could use hectoliter. But the one that's most typically used is kiloliter. And as the prefix kilo implies, this is equivalent to 1,000 liters. And if you want to visualize this, this actually isn't as large as you might assume it to be. If you just take a cube, and this side, instead of taking each dimension being 10 centimeters, if you were to take a cube where each dimension is exactly 1 meter, so 1 meter deep, 1 meter wide, and 1 meter tall, this volume is equivalent to 1 kiloliter. So you could imagine something like a kilometer would be very useful for measuring, say, the volume of water inside of a swimming pool.