Hi, I'm trying to make accurate illustrations for a data visualization task. I would like to create different solids based on the "cube 1". I would like to scale up "cube 1" times 100, 1000 etc. To obtain a solid that's comprised of 100 of "cube 1", do I just use the volume formula V=(a³)*100 ?

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Earlier, I tried using this formula:

V=(a³)*100

so

V=(10³)*100

V=100000

&nbsp;

But what I'd like to know is what is the measurement for the edge 'a'

So do I just use:

100000=x³

x= 100000^(1/3)

x=46.4

&nbsp;

And the measurement for the edge for the new solid comprised of 100 times (cube 1) equals 46.4?

I feel like something is wrong, I haven't used any maths or geometry for ages.

Please let me know if I'm not clear enough, I can't find all the terms I need in English, it's not my native language.
The volume of 100 of cube 1 is 100 times the volume of cube 1.

So imagine you have 100 little cubes. How are you going to arrange them into a rectangular shape?

You could make a long line of them, 100 x 1 x 1.

You could make 4 layers that were 5 x 5, 4 x 5 x 5.

You could make 2 layers that are 2 x 25, 2 x 2 x 25

But there's no arrangement you can make that is cubical, since you can't divide 100 up into three equal numbers a such that a x a x a = 100.
Depends on what you mean by up scaling. If you mean to get n-times the volume, then do n\*V where V is the volume of your initial cube. If you mean a cube with n-times the side lenght, then do V(n) = n\*s³ where s is the side lenght of your inital cube. And s on.

&#x200B;

Edit: The second cube in your picture isn't a cube. Its back is wider than its front. And it is deeper than it is wide and long. Looks like the back has a bigger square shape than the front. And the side shapes are rectangles instead of squares. All in all yielding distorted angles and side lenght.

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