What is the missing LENGTH of a rectangular prism where the height is 9 cm and the width is 9 cm and the surface area is 432 cm squared?
To find the missing length of the rectangular prism, we first calculate the surface area of the prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
Height (h) = 9 cm
Width (w) = 9 cm
Surface Area = 432 cm²
Substitute the given values into the formula:
432 = 2(9)(9) + 2(9)(9) + 2(9)L
432 = 162 + 162 + 18L
432 = 324 + 18L
108 = 18L
L = 108 / 18
L = 6
Therefore, the missing length of the rectangular prism is 6 cm.