What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432cm^2
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2lw + 2lh + 2wh
Given that the height (h) and width (w) of the rectangular prism are both 9 cm, and the surface area is 432 cm^2, we can plug in these values and solve for the missing length (l):
432 = 2(9)(l) + 2(9)(9) + 2(9)(9)
432 = 18l + 162 + 162
432 = 18l + 324
18l = 108
l = 108 / 18
l = 6
Therefore, the missing length of the rectangular prism is 6 cm.