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

Question

Mathematics

Nick Hawkins

28 May, 19:22

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

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Answers (1)

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Trenton Buchanan · 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