5th grade (Eureka Math/EngageNY)
Measuring volume with unit cubes
Learn to measure volume of rectangular prisms with cube units. Created by Sal Khan.
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- If the radius of the base of right circular cylinder is halved. keeping the height same. what is the ratio of the volume of the reduced cylinder to that of the original.(17 votes)
- Since the volume and the radius of the cylinder are both proportionally direct (as one increases, the other increases as well, and the same goes if one decreases), then as we halve the radius, the volume simply halves.(3 votes)
- How many cubes are in 1 layer(11 votes)
- Depends. If it a 6 by 6 by 6, it would be 36 in one layer(8 votes)
- are there any other videos on this?
- Yes, there are many other videos on this(5 votes)
- I used to think volume is hard but all you have to do is multiply.(8 votes)
- who likes lemonade(8 votes)
- pink lemonade is better(1 vote)
- khan academy is a really good academy(8 votes)
- to be precise is a nonprofit site(1 vote)
- but if i want to make a bigger volume square i would get bigger results teha change i every dimension(6 votes)
When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions!
Hope this helped! :)(1 vote)
- Can someone help me with volume? its the one were there is fractions involved and it askes about how many cubes there are,i watched the videos, did practices, but i still get the questions wrong,i thought i got the hang of it but when i did the practices i get all of them wrong can someone help me?PLEASE!(2 votes)
- To find the volume of something, you would multiply the objects length, width, and height together, then write the product with the units cubed.(8 votes)
- why is the box bigger than the other box?(4 votes)
- What is the name of the website you used? I would really like to use that too en practice measuring the volume with unit cubes.(4 votes)
We are asked, what is the volume of this box? And they tell us that each cube is a cubic foot. So just as a reminder, volume is a measure of how much space does something take up. And it's usually measured in cubic units. And here we're talking about cubic feet. And when they say that each cube is a cubic foot, they're saying that each of these little boxes, each of these cubes here, is exactly a 1 foot by 1 foot by 1 foot cube. We're in three dimensions right now. We're talking about three dimensions. 3D, you literally need three dimensions. You need how tall you are, how wide you are, and how deep you are. And for a cubic foot, each of those dimensions is one. So each of these are one cubic foot. The entire shape has one, two, three, four, five, six cubic feet in it. So the volume of this entire box is 6 cubic feet. And you see right here the unit says feet, and it has a superscript here of 3. This is feet to the third power. You could view this as feet times feet times feet, or cubic feet. So this is 6 cubic feet. Let's do a few more of these. What is the volume of this shape? So this one is quite interesting right over here. You have-- let's see if we can count these. So you have one, two, three, four, five, six, seven, eight unit boxes, or I guess these are cubic inches for this example. So we have 8 cubic inches. This is a lot of fun, especially when we get to rotate it. So here, each cube is a cubic foot again. So we have one, two, three cubic feet. Let's do one more of these. I like the ones that have these kind of crazy shapes that we have to rotate to be able to see all the boxes. So each of these is a cubic meter, which means that in each dimension, each of these boxes is a 1 by 1 by 1 meter. But how many boxes are there? Let's see. We have one. We have one. Let me see if I can get a view where I can look at it better. We have one, two, three, four, five, six boxes. So the total volume here is 6 cubic meters.