Respuesta :

Answer:

The answer to your question is z = 87 cm

Step-by-step explanation:

Data

Surface area of the rectangular prism = 8,462 cm²

Find z

Process

1.- Write and equation that help to solve the problem

Surface area = 2(13z) + 2(13)(31) + 2(31z)

-Simplify

           8462 = 26z + 806 + 62z

           8462 - 806 = 26z + 62z

                     7656 = 88z

                          z = 7656/88

-Result

                          z = 87 cm