SOLUTION: the volume of a fudge tin must be 120 cubic centimeters. The tin is 7 centimeters longerthan it is wide and six times longer than it is tall wtrite a polynomial equation that expr

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: the volume of a fudge tin must be 120 cubic centimeters. The tin is 7 centimeters longerthan it is wide and six times longer than it is tall wtrite a polynomial equation that expr      Log On


   



Question 47863: the volume of a fudge tin must be 120 cubic centimeters. The tin is 7 centimeters longerthan it is wide and six times longer than it is tall
wtrite a polynomial equation that expresses the volume of the tin
Use the polynomial to determine thedimensions of the tin

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
width = w
length = w + 7
lenght = 6(height) so: height = (w + 7)/6
Polynomial:
w%28w+%2B+7%29%28w+%2B+7%29%2F6+=+120
%28w%5E2+%2B+7w%29%28w+%2B+7%29+=+720
w%5E3+%2B+14w%5E2+%2B+49w+-+720+=+0
Graph:
graph%28600%2C600%2C-20%2C20%2C-20%2C20%2Cx%5E3%2B14x%5E2%2B49x-720%2C0%29
w = 5
width = w = 5 cm
length = w + 7 = 5 + 7 = 12 cm
height = (w + 7)/6 = (12)/6 = 2 cm