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Lesson 3: Volume with fractions

# How volume changes from changing dimensions

In geometry, altering the dimensions of a rectangular prism impacts its volume. If you double one dimension, the volume doubles. If you double two dimensions, the volume quadruples. When all dimensions are doubled, the volume increases eight times. This is a fundamental concept in understanding volume.

## Want to join the conversation?

• Could you make a video on changing dimensions, but this time could you talk about changing dimensions but still getting the same volume?
• I think this is covered under surface area section.
• When volume remains constant what is the impact on the surface area of a rectangular prism of a change in the dimensions
• Surface area and volume are not the same. You may want to check out the surface area section. But, if you maintain volume, and change one dimension, you will have to either increase or decrease another dimension to make this happen.
• So, in school we are learning about change in dimensions and my teacher makes it so confusing with a whole bunch of formulas like new area over old area and I just don't get it can someone explain it for me in a more simpler way?
• If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. The box was 2x3x5. If you double any of those numbers, it doubles the volume. A 2x3x5 box has a volume of 30. If you doubled the 2 to a 4 making it a 4x3x5 box, the volume becomes 60. Lets say you changed the one side from 5 to 10 making it a 2x3x10 box, same thing , volume goes from 30 to sixty. Lets say you changed the one side from 2 to 8, essentially 4 times its original length. now the box is 8x3x5. It will make the volume 4 times as much also. the volume would go from 30 to 120. hope this helps. :)
• you said this at the one minuet and eight second in the video why does the three stay the same?
• it will be multiplied by 8
• Yes it is cause 2*2*2 =8
• Any chance the video could finish the information presented?
Leaving off the answer & its description was completely unhelpful. Sal asked a question, but never provided the information after . I am disappointed.
• Why do the call it 3D I mean if there is a 3rd Dimension there has to be millons ands millons more demensions right?
• ummm. we live in a 3D world. there is a 4th dimention which is time.
the string theory, however, suggests that there are 10, 11 or even 26 dimensions. but so far, it hasn't been prooved.
• i don't understand
• He means 2 * 3 * h, where h is the height.
When he substituted 5 for h, he replaced the h in 2 * 3 * h with 5.
Now the expression is 2 * 3 * 5.
• In Quiz 1 There's a question I don't understand. They said to solve h in (20m x 50m x h = 3000 m^3) How do i find "h"?