Question

I need help with number 14 for my test review (see pic)

Answer 1

Choose one side to be length, one side to be width, and one side to be height.
SA = 2lw + 2lh + 2wh
V = lwh
\[\frac{ SA }{ V } = \frac{ 2(x)(3x) + 2(x)(x+2) + 2(3x)(x+2) }{ (x)(3x)(x+2) } = \frac{ 6x^2 + 2x^2 + 4x + 6x^2 +12x }{ 3x^3 + 6x^2 } = \frac{ 14x^2 + 16x }{ 3x^3 + 6x^2 }\]