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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-example-1
User David Nilosek
by
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2 Answers

6 votes
6 votes

Answer:

6x^2+36x+22

Explanation:

substitute given expressions in the formula

User Johnatasjmo
by
3.1k points
17 votes
17 votes

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

User Deepseefan
by
2.6k points
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