What is the missing length of a rectangular prism where the height and width are both 9 cm in the surface area is 432 cm²

Let the missing length be 'x'.

The surface area of a rectangular prism is given by:

2(lw + lh + wh)

Substituting the given values:

2(x*9 + 9*9 + x*9) = 432

Simplifying:

18x + 162 = 216

18x = 54

x = 3

Therefore, the missing length of the rectangular prism is 3 cm.