Question

If the base of a rectangular prism has an area of 2x^2+3x sq in. The volume of the perimeter is 6x^3+13x^2+6x cubic in. Which expression represents the height of the prism in inches?

Answer 1

Answer:

The answer to your question is 3x + 2

Step-by-step explanation:

Data

Area of the base = 2x² + 3x in²

Volume of the prism = 6x³ + 13x² + 6x in³

Height = ?

Process

1.- Divide the Volume of the prism by the area of the base to get the height

                                       3x   +    2

                     2x² + 3x   6x³  +  13x²  +  6x            

                                      -6x³  -    9x²

                                        0    +   4x²   +  6x

                                              -    2x²   -   6x

                                                     0          0

2.- Conclusion

The height of the rectangular prism is 3x + 2