What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm2? (1 point)
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Given that the height and width are both 9 cm, we can substitute these values into the formula:
432 = 2l(9) + 2(9)h + 2(9)h
432 = 18l + 36h
Now we need to find the missing length, so we can rearrange the equation to solve for l:
18l = 432 - 36h
l = (432 - 36h) / 18
Now we substitute the values we have into the equation:
l = (432 - 36(9)) / 18
l = (432 - 324) / 18
l = 108 / 18
l = 6
Therefore, the missing length of the rectangular prism is 6 cm.