V=x^3+5x^2-57x-189 Width: W=(x+3) in = 15 in →x+3=15 Solving for x: x+3-3=15-3→x=12
With x=12 the Volume would be: V=(12)^3+5(12)^2-57(12)-189 V=1,728+5(144)-684-189 V=1,728+720-684-189 V=1,575
V=W*D*H Depth: D Height: H with H>D
V=1,575; W=15 Replacing in the equation above: 1,575=15*D*H Dividing both sides by 15 1,575/15=(12*D*H)/15 105=D*H 3*5*7=D*H D<H If D=5→H=3*7→H=21 If D=7→H=3*5→H=15
Answer: Option <span>C. height: 21 in. depth: 5 in. </span> Please, see the attached file for another form to solve the problem