What is the missing length of a rectangular prism where the height and width are both 9 cm in the surface area is 432 cm²?
And bot? Pls answer like a 7th grader?
To find the missing length of the rectangular prism, we first need to calculate the total surface area of the prism. The surface area formula for a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given that the height and width are both 9 cm, we can plug in these values into the formula:
432 = 2(9)(l) + 2(9)(9) + 2(l)(9)
Now we can simplify the equation:
432 = 18l + 162 + 18l
Combine like terms:
432 = 36l + 162
Subtract 162 from both sides:
270 = 36l
Divide by 36:
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.