To find the missing length of the rectangular prism, we first need to calculate the total surface area of the prism.
The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given that the width and height are both 9 cm, we can substitute those values into the formula:
432 = 2(l)(9) + 2(9)(9) + 2(l)(9)
Now we simplify and solve for the length:
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 270 / 36
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
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
1 answer