Answered

A rectangular prism has dimensions x units, 2x units, and x + 8 units. Which expression represents the surface area of the prism?

Verified Answer :

isaacholton7

Well, since the Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac. If we separate or variables into a,b,c we should get something that looks a little like this. a=x, b=2x, c=x+8. Now that we have singled out our variables, we can plug it into the equation. Once it is plugged in it should look like this: 2(x)(2x)+2(2x)(x+8)+2(x)(x+8). Now we have to multiply our terms to simplify the expression. Once done you should have an answer like this: \(4x^{2}\)+\(4x^{2} +32x\)+\(2x^{2} +16x\). Now you combine like terms. After this step, you should have the answer: \(10x^{2}+48x\)

The expression that represents the surface area of the prism is

10x^2 + 48x

What is a Rectangular Prism?

It is a polyhedron with two congruent and parallel bases. A rectangular prism has six faces, and all the faces are in rectangle shape and twelve edges . So, it is a cuboid .

let , l= x

w= 2x

h= x+8

Surface area of rectangular prism = 2(l w + l h + w h)

                                           =   2 (x2x + x(x+8) + 2x (x+8))

                                           = 2(2x^2 + x^2 + 8x + 2x^2 +16x)

                                          = 2(5x^2 + 24 x)

                                          = 10x^2 +48 x

lets learn more about rectangular prism :

https://brainly.com/question/16154580?referrer=searchResults

#SPJ2

Related Questions