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)
cm
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, we can substitute these values into the formula:
432 = 2(9)l + 2(9)h + 2(9)h
432 = 18l + 36h
We can substitute the values of width and height into the equation and solve for l:
432 = 18l + 36(9)
432 = 18l + 324
18l = 108
l = 6
Therefore, the missing length of the rectangular prism is 6 cm.