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
The length of the rectangular prism can be found using the formula for the surface area of a rectangular prism:
Surface Area = 2(length × width + length × height + width × height)
Plugging in the given values of height and width, we get:
432 = 2(length × 9 + length × 9 + 9 × 9)
Simplifying and solving for length:
432 = 2(18length + 81)
432 = 36length + 162
36length = 270
length = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.