What is the missing length of a rectangular prism for the height and width are both 9 cm and the surface area is 432 cm²
To find the missing length of the rectangular prism, we first need to calculate the surface area of the prism.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Height = 9 cm
Width = 9 cm
Surface Area = 432 cm²
Substitute the given values into the formula:
432 = 2(9)(9) + 2(9)(h) + 2(9)(h)
432 = 162 + 18h + 18h
432 = 162 + 36h
270 = 36h
h = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.