The height of a rectangular box is 8 ft. The length is 2 ft longer than thrice the width x. The volume is 448 ft.

Answer 1

H = 8

L = 2+ 3W

448 = LWH = (2+3W)W(8)

3W^2 + 2W = 448/8 =56

3W^2 +2W -56 = 0

factor or use the quadratic formula

(3W +14)(W-4) = 0, ignore the negative solution for W

W = 4 feet wide

L = 2+12 = 14 feet long

H = 8 feet high

8x4x14 = 448 ft^3

or use x for W = width