Mathematics

Question

The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of x is 3, what is the surface area, in square centimeters of the prism?

1 Answer

  • 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