Question

Please Help!
An open box is formed by cutting a 5 inch square measured from each corner and folding up the sides. If the volume of the carton is then 40 in3, what was the length of a side of the original square of cardboard

Answer 1

you see the box is made by cutting 5 inch square from each corner,
so the height of the box will be 5 inches,

now volume of box is given as 40 in3

so area of base of the box = volume/ height
= (40/5) in2
= 8 in2
now that you have area, and its given that originally the cardboard was square,
hence length of side of square = \[\sqrt{8} in\]\[2\sqrt{2} in\]

Answer 2

ohh sorry that will be the length of a side of the box, the length of actual cardboard will be \[(2\sqrt{2} + 10) in\]the 10 being added to make up for the 5 in squares cut from corners.