Discover the best answers to your questions with the help of IDNLearn.com. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.

The length, with, and height of a rectangular prism can be represented by the expressions (x+3),(x+7),and(x-1). Write an expression to represent the surface area of the prism.

The Length With And Height Of A Rectangular Prism Can Be Represented By The Expressions X3x7andx1 Write An Expression To Represent The Surface Area Of The Prism class=

Sagot :

Answer: 6x² + 36x + 22

Step-by-step explanation:2 faces  (x + 3) by (x + 7), area of both these faces 2(x+3)*(x + 7)

2 faces  (x + 3) by (x - 1), area of both these faces 2(x+3)*(x - 1)

2 faces  (x -1 ) by (x + 7), area of both these faces 2(x-1)*(x + 7)

Whole surface area is

2(x+3)*(x + 7) + 2(x+3)*(x - 1) + 2(x-1)*(x + 7) =

=2(x² + 3x +7x +21) + 2(x² +3x -x - 3) + 2(x² - x +7x -7)=

=2x² + 20x +42 + 2x² + 4x - 6 + 2x² + 12x -14 =

= 6x² + 36x + 22

Answer:

6x^2+36x+22

Step-by-step explanation:

substitute given expressions in the formula