What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432%C2%A0cm2 ?(1 point) cm
The formula for finding the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given that the width and height are both 9 cm and the surface area is 432 cm², we can plug in these values into the formula and solve for the missing length:
2(9)(9) + 2(9)(l) + 2(9)(l) = 432
162 + 18l + 18l = 432
36l = 270
l = 270 / 36
l = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.