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 point) cm
The surface area of a rectangular prism can be calculated using the formula:
Surface area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height of the prism.
Given that the width and height are both 9 cm, we can plug in these values into the formula:
432 = 2l(9) + 2(9)(9) + 2(9)l
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.