Mathematics

Mathematics

Problem

An open topped box is to be constructed by removing equal squares from each corner of a 3 m3\,\text{m} by 8 m8\,\text{m} rectangular sheet of Aluminium and folding up the sides. Find the volume of largest such box. ![](https://storage.googleapis.com/diraq-contents/PROD/homework-question-parsing/marker/5e0ce7d63a1f4a49a6c3cef7f007c130/afe5eb459b7c9cfe880b067777d876d8_img.jpg) ![](https://storage.googleapis.com/diraq-contents/PROD/homework-question-parsing/marker/bcf66c4c400b42eda8cd04cbcb665c9a/8e592c58b5074d79831ff650c2c636df_img.jpg)

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