What is the missing length of a rectangular prism where the height and width are both 9cm and surface area is 432cm squared

Answer 1

To find the missing length of the rectangular prism, we first need to calculate the surface area of the entire prism:

Surface Area = 2lw + 2lh + 2wh

Given that the height and width are both 9cm, we can substitute these values into the formula:

432 = 2(9)(9) + 2(9)(l) + 2(9)(l)
432 = 162 + 18l + 18l
432 = 162 + 36l
270 = 36l
l = 7.5cm

Therefore, the missing length of the rectangular prism is 7.5cm.