You are making an open box from a rectangular sheet of cardboard by cutting squares 2 inches in length from each corner and folding up the sides. The length of the sheet of cardboard is 8 inches more than the width. (SEE ATTACHMENT)

Question

anonymous · Answer

Write a polynomial that represents the total volume of the open box.

anonymous · Answer

Find the volume of the open box when the width of the sheet of cardboard is 6 inches.

directrix · Answer

Let w = width
and w + 8 the length
height = 2

V(w) = (w - 4)(w+ 8 - 4)(2)
V(w) =2 (w-4)(w+4)
V(w) = 2 w² - 32

directrix · Answer

If w = 6, then,

V(6) = 2* (6)² - 32
V(6) = 72 - 32 = 40 cubic inches

anonymous · Answer

Thanks ! :)

directrix · Answer

Glad to help.