Question

the width of a rectangular piece of cardboard is 7 in. less than it's length. A square piece that measures 3 in. on each side is cut from each corner, then the sides are turned up to make a box with volume 360 inches cubed. Find the length and width of the original piece of cardboard

Answer 1

That's a lot of information to take in, isn't it ?

v=360
l=x
b=x-7
h=3

v=lbh
360=x×x-7×3

Now I just plugged in random numbers until I found

360=15×15-7×3
360=15×8×3
360=360

Length = 15inch
Breadth = 8inch