the passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres. solve a polynomial equation to determine the dimensions of the section of the train if the volume is 117m^3.

1 answer

Just use your knowledge that V = LxWxH

117 = (2x-7)(2x+3)(x-2)
4x^3 - 16x^2 - 5x - 75 = 0

(x-5)(4x^2 + 4x + 15)
x = 5 is the only real solution

W = 3
L = 13
H = 3