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I hava an irregularly shaped 3d object. Of this object I know the areas of the crossections in regular intervals. How can I calculate the volume of this object?

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Homework, voting to close. – Igor Rivin Jan 13 2012 at 13:23
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 The trick you are looking for is called the coarea formula. In my opinion, the best presentation of this trick can be found in the book Geometric Inequalities by Burago and Zalgaller, Sec. 13.4. – Liviu Nicolaescu Jan 13 2012 at 15:02

closed as too localized by Igor Rivin, Deane Yang, Alain Valette, Henry Cohn, fedja Jan 13 2012 at 13:56

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