Answer:
234 cm²
Step-by-step explanation:
Given expression to represent the surface area of the rectangular prism is [tex]6x^{3} +4x^{2} +12x[/tex]
The given value of x is 3.
Now, finding value of expression by sustituting value of "x" as given.
Surface area of the rectangular prism = [tex]6x^{3} +4x^{2} +12x[/tex]
Surface area of the rectangular prism= [tex]6\times 3^{3} +4\times 3^{2} +12\times 3[/tex]
∴ Surface area of the rectangular prism= [tex]6\times 27+ 4\times 9+ 12\times 3[/tex]
Surface area of the rectangular prism= [tex]162+36+36= 234\ cm^{2}[/tex]
∴ Surface area of the rectangular prism= 234 cm²