What is the missing length of a rectangular prism where 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 total surface area of the prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given that the height (h) and width (w) are both 9 cm, we substitute those values into the formula:
432 = 2(x)(9) + 2(9)(9) + 2(9)(x)
432 = 18x + 162 + 18x
432 = 36x + 162
270 = 36x
x = 7.5
Therefore the missing length of the rectangular prism is 7.5 cm.