What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm squared?
To find the missing length, we need to first find the total surface area of the rectangular prism.
Surface Area of a Rectangular Prism = 2lw + 2lh + 2wh
Given that the height and width are both 9 cm, we can plug in the known values:
432 = 2(l)(9) + 2(l)(9) + 2(9)(9)
432 = 18l + 18l + 162
432 = 36l + 162
270 = 36l
l = 270 / 36
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.