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??
__cm
The surface area of a rectangular prism can be calculated by using the formula:
Surface Area = 2(length x width) + 2(width x height) + 2(length x height)
Given that the height and width are both 9 cm and the surface area is 432 cm^2, we can plug in the values into the formula:
432 = 2(length x 9) + 2(9 x 9) + 2(length x 9)
432 = 18length + 162 + 18length
432 = 36length + 162
270 = 36length
length = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.