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
To find the missing length of the rectangular prism, we need to first calculate the total surface area.
Since the surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
H = 9 cm
W = 9 cm
Surface Area = 432 cm^2
Plugging in the values into the formula,
432 = 2(9)(l) + 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.