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 204445: 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 solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the measure of the side of the cutout square, then

is the length of the box,

is the width of the box, and

is the depth of the box.

Surface area of an open-topped box is two times the length times the depth plus two times the width times the depth plus the length times the width. (it would be two times the length times the width if the box had a top).
The volume is just the length times the width times the depth.

John

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