This is a Precalc math question please help me! I can never understand how to do these freaking ones and I really really need to, so if you could tell me how you solved it I would appreciate it a lot!!!! Thanks :)
Picaro's Packaging Plant wishes to design boxes with a volume of not more than 100 in^3. Squares are to be cut from the corners of a 12-in. by 15-in. piece of cardboard, with the flaps folded up to make an open box. What size squares should be cut from the cardboard?
Picaro's Packaging Plant wishes to design boxes with a volume of not more than 100 in^3. Squares are to be cut from the corners of a 12-in. by 15-in. piece of cardboard, with the flaps folded up to make an open box. What size squares should be cut from the cardboard?
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consider x = side of the squares to be cut
V = (L-2x)*(W - 2x)*x
where L = 15 and W = 12
V = x(15-2x)(12-2x) that has to be ≤ 100
solve the attached equation:
x(180 - 54x + 4x²) = 100
4x³ - 54x² +180x - 100 = 0
x = 0.69
x = 4.2
x = 8.6
The only plausible solution is x = 4.2 in
V = (L-2x)*(W - 2x)*x
where L = 15 and W = 12
V = x(15-2x)(12-2x) that has to be ≤ 100
solve the attached equation:
x(180 - 54x + 4x²) = 100
4x³ - 54x² +180x - 100 = 0
x = 0.69
x = 4.2
x = 8.6
The only plausible solution is x = 4.2 in