What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432c * m ^ 2 * 7 (1 point)

1 answer

The formula for the surface area of a rectangular prism is SA = 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 cm^2, we can plug these values into the formula:

SA = 2(9)(l) + 2(9)(9) + 2(l)(9)
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 7.5

Therefore, the missing length of the rectangular prism is 7.5 cm.