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## Problem of the Day #182: U Can’t Touch This!September 17, 2011

Posted by Seungln in : potd , trackback

Sreenath finds himself hovering in an amorphous prison cell. He tries to touch a wall and finds that he cannot get within $1$ meter of the surface that surrounds him. If Sreenath knows that this prison cell has a constant volume of $450$ meters cubed, then what is the maximum volume that Sreenath can occupy?

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