A box without a lid is to be made from a sheet of thin metal. The sheet measures 20 cm by 20 cm. squares of side x cm are cut from each corner and the sides folded up. What is the formula for the volume?

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Answer 1 · 2016-07-19T05:53:04

Formula for volume is #x(20-x)^2# or #x^3-40x^2+400x# #cucm#.

As we are cutting squares of side #x# cm, the height of cuboid is #x#.

Length and width will be #(20-2x)# each, as we are cutting from a square sheet.

Hence volume will be #x(20-x)^2# or #x^3-40x^2+400x# #cucm#.