SOLUTION: can you help me solve this word problem; 1) A piece of cardboard has a length of 60cm and a width of 40cm. In order to make the cardboard into an open box, a box with no lid), a pi

Question 204343: can you help me solve this word problem; 1) A piece of cardboard has a length of 60cm and a width of 40cm. In order to make the cardboard into an open box, a box with no lid), a piece of length x must be cut out of each corner.
-Write an equation to represent each dimension of the box.
-Using the dimensions from part a), find the S.A and Volume of the box. (Remember that it is an open box with no lid.)

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let L = the length of the finished box and W = is width. If h = its height, then: (The corners are assumed to be square with side = x)

and...

The surface area, (4 sides plus bottom) SA (as a function of x), can be expressed as:
Simplify.

For the volume:

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