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?

Answer 1

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is $6x^{3} +4x^{2} +12x$

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 = $6x^{3} +4x^{2} +12x$

Surface area of the rectangular prism= $6\times 3^{3} +4\times 3^{2} +12\times 3$

∴ Surface area of the rectangular prism= $6\times 27+ 4\times 9+ 12\times 3$

Surface area of the rectangular prism= $162+36+36= 234\ cm^{2}$

∴ Surface area of the rectangular prism= 234 cm²