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?

2 answers

Let the missing length be x cm.
The surface area of a rectangular prism can be found using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
We know that the height and width are both 9 cm, so:
2lx + 2(9x) + 2(9l) = 432
Simplifying:
2lx + 18x + 18l = 216
2x(l + 9) = 216 - 18l
x(l + 9) = 108 - 9l
x = (108 - 9l)/(l + 9)
We do not have enough information to determine the length, so we cannot solve for x.
Does anybody have the answers for question 13 the unit test?