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

Answer 1

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

Surface Area = 2lw + 2lh + 2wh

Given that the height and width are both 9cm, the formula simplifies to:

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

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