The height of a box is 4 inches. The length is three inches more than the width. Find the width of the volume is 160 cubic inches.

Question

A- 5in

b-4in

c-40in

d-8in

Answer 1

V = HLW

H = 4

L = W + 3

V = 160

W = ?

160 = 4(W + 3)W

4W² + 12W - 160 = 0

W² + 3W - 40 = 0

(W + 8)(W - 5) = 0

W = 5 inches

L = (5 + 3) inches = 8 inches

Test the answer.

Answer 2

H = 4

L = W + 3

HLW = 160

4(W + 3)W = 160

W² + 3W - 40 = 0

(W - 5)(W + 8) = 0

W = 5 inches