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anonymous
 5 years ago
A box with no top is made by taking a rectangular sheet of metal and cutting away four equalsized squares (one from
each corner of the sheet) and then folding up the resulting
aps. The box should be made 4 cm deep and the length of the
base should be 15 cm more than the width. If the volume is to be 1000 then what should be the width of the sheet of metal?
anonymous
 5 years ago
A box with no top is made by taking a rectangular sheet of metal and cutting away four equalsized squares (one from each corner of the sheet) and then folding up the resulting aps. The box should be made 4 cm deep and the length of the base should be 15 cm more than the width. If the volume is to be 1000 then what should be the width of the sheet of metal?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0width is 10 length is 25

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you use a system of equations to solve this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0depth = 4 length = width + 15 length * width * depth = 1000 substitute width +15 for length in the third equation and substitute depth for 4 in it also and you get (width +15)*width*4=1000 you then get \[4w ^{2} + 60w=1000\] then you bring the 1000 over to the left side and factor this gives you \[4(w ^{2}+15w 250)=0\] then you factor and end up with \[4((w ^{2}+25)(w10))=0 \] and you solve for w which will give you 25 and 10 and since you cant have a negative width you know that the width is 10 and then you plug this into the second equation which was length = width +15 so 10+15 = 25 and that is your length

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats not one of the answers in my multiple choices ...
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