Wolk and Co. Provides cubicles for their employees. The length of each cubicle is 3ft more than the width. The height is 1 ft less than the width and the Volume is 96 times the width. Write and equation to determine the dimensions of the cube labe the length, width, height.
2007-11-12 07:34:38 · 3 answers · asked by D 2 in Science & Mathematics ➔ Mathematics
Let w = width. Then the volume V
V = w*(w+3)*(w-1) = 96 w
96 = (w+3)*(w-1) = w^2 +2w - 3
0 = w^2 +2w - 99 = (w+11)(w -9)
w = -11, 9
Since width has to be positive, w = 9, length = 12, height = 8 feet
2007-11-12 07:42:52 · answer #1 · answered by nyphdinmd 7 · 1⤊ 0⤋
V = lwh
l=3+w
h=w-1
V=96w
96w=(3+w)w(w-1)
96w = w^3+2w^2-3w
0=w^3+2w^2-99w
0=w(w+11)(w-9)
w=0,-11,9; however, 9 is the only length that is valid
So, width is 9 ft, length is 12 ft, height is 8ft.
2007-11-12 07:45:12 · answer #2 · answered by hrhbg 3 · 1⤊ 0⤋
Given:
l = w + 3
h = w - 1
V = 96w
V = lhw =
(w + 3)(w - 1)(w) = 96w.
2007-11-12 07:47:35 · answer #3 · answered by S. B. 6 · 1⤊ 0⤋