Question

An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and tuming up the edges if the box is to hold 400 cubic feet what should be the dimensions of the sheet metal? What is the length of a side of the square piece of sheet metal? feet

one more screenshot, just to make it clear.

please help me the answer.

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Answer 1

Let the side of sq yare sheel- e feel A n 41 4 4 4 4 After cutting the cutting the side of square is of box is ( as) feel and height of box is 4 feel Now of box V(x) = (length x Width) base height the volume o ན According to bextim, 400 feel v(n) =

400 100 2 x (4-8²- (21-8ge -- t r loo d-8 2 - 8t loo when taking the tve, we gel- 2 -- 8 tlo 18 taking -ve, wegel -8-10 ---a,ol is impossible. When u- hence - 18 feel hence dimension of the metal is length=18 feel -- 18 feel - sheel width length 18 feel