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I am horrible with word problems. An open-top box with a square base is to be constructed from 110 square centimeters of material. What dimensions will produce a box with largest possible volume?
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I just need a push in the right direction for solving this.
Without working it all out and assuming u can use all the material, let the side of the square base be x and the height be h, then SA = 4xh + x^2 and V = x^2h.
We have to find maxima on the volume
find a formula for V in terms of x only differentiate and equate to 0 solve to find x then find h these are the required dimensions confirm maximum using second derivative
i'm assuming u know some calculus
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i am in pre-calculus right now
110/l*w*h to get the volume
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