let original piece of material be x by x inches
after cut-out, the base will be x-4 by x-4 and the height will be 2
so 2(x-4)^2 = 72
(x-4)^2 = 36
take √ of both sides
x - 4 = 6
x = 10
the original piece was 10 by 10 inches
Can you please help with this geometry question.
An open box is formed from a square piece of material by cutting 2-in squares from each corner of the material and folding up the sides. If the volume of the box that is formed is to be 72 in cubed, what was the original piece of material?
Thank you for your continued help. Always excellent.
1 answer
1 answer