Perhaps, but there is less room for error using this method. I'll show you how find the polynomial, as well.
Now, the Volume is Height x Width x Length: So the volume is: \[\ 8\times11\times51= Volume\]
So, That gives us \(\ \Huge 9x^2+60x+36 \). There's also an \(\ \Huge 8 \), so \(\ \Huge 8(9x^2+60x+36) \). You can factor a three out of the parenthesis, because 3 is a factor of all three terms. That gives you for a final answer: \(\ \Huge 24(3x^2+20x+12).\) Did you understand that?