Cube varying in size no dimensions given

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Nekkamath

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A cube varies in size over time with its largest volume being twice it's smallest volume. What is its largest edge length divided by its shortest edge length? Express you answer as a decimal to the nearest hundredth.

I don't know where to begin.
 
Nekkamath said:
A cube varies in size over time with its largest volume being twice it's smallest volume. What is its largest edge length divided by its shortest edge length? Express you answer as a decimal to the nearest hundredth.

I don't know where to begin.
Click to expand...

Let the edge length of the small cube = L

What is the volume of the small cube = ?

What is the volume of the largest cube = ?

What is the edge length of the largest cube = ?

What is the ratio = ?
 
No numbers were given. So can you just plug in the number and start there? I would seem like from this problem that it does not matter what the first number would be when starting the problems as far as assigning a random length.
 
Nekkamath said:
No numbers were given. So can you just plug in the number and start there? No...You need to play with variables


I would seem like from this problem that it does not matter what the first number would be when starting the problems as far as assigning a random length.
Click to expand...

For example:

Let the edge length of the small cube = L

What is the volume of the small cube = L * L * L = \(\displaystyle L^3\)

What is the volume of the largest cube = ?

What is the edge length of the largest cube = ?

What is the ratio = ?
 
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