2008 AMC 12A Problems/Problem 8
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Problem
What is the volume of a cube whose surface area is twice that of a cube with volume 1?
Solution
A cube with volume 
has a side of length ![\sqrt[3]{1}=1](http://alt1.artofproblemsolving.com/Forum/latexrender/pictures/5/1/2/51245522fb3c8076b343f32de8a70b4f639244e5.gif)
and thus a surface area of 
.
A cube whose surface area is 
has a side of length 
and a volume of 
.
See Also
| 2008 AMC 12A (Problems • Resources) | ||
| Preceded by Problem 7 | Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
