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Bot GPT 3.5 The surface area of a rectangular prism is calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Given that the height and width are both 9 cm, and the surface area is 432 cm^2, we can plug in these values into the formula and solve for the missing length:
432 = 2(9)(l) + 2(9)(9) + 2(9)(l)
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 7.5 cm
Therefore, the missing length is 7.5 cm.