box made from 25-by-40 sheet by cutting sqrs from corners

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rgraham9034

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We are studing quadratic equations and quadratic formula and I can not figure out how to write this problem out. The problem is:

An open box is to be made from a 25 in. by 40 in. rectangular piece of cardboard by cutting squares of equal area from each corner and turning up the sides. If the specifications require the base of the box to have an area of 700 sq. in., what size squares should be cut from each corner.

Please help if you can.

Thanks,
Regina
 
Re: Quadratic equations and formula please help

>an open box is to be made from a 25 in. by 40 in. rectangular piece of cardboard by cutting squares of equal area from each corner and turning up the sides. If the specifications require the base of the box to have an area of 700 sq. in., what size squares should be cut from each corner.

I would draw a sketch of the rectangular piece of cardboard. I would draw the little squares on each corner. I would label each side of each of the 4 squares "x". I would draw dashed lines from the inside corners of the squares that represent the fold lines. This makes the length of the long fold line 40-2x and the length of the short fold line 25-2x. You should now be able to set up an equation and solve your problem using the fact that the area of the bottom is 700 in[sup:h6o5kv7o]2[/sup:h6o5kv7o]. I would assume that you would always draw a sketch to help you organize your thoughts whenever a "geometry" problem such as this confronts you.
 
Re: Quadratic equations and formula please help

Regina, take some old box and "open it up" , then lay it flat on your kitchen table:
then you will probably "see the light" :wink:
 
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