What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm^2
To find the missing length of the rectangular prism, we first need to calculate the total surface area of the prism.
Given:
Width = 9 cm
Height = 9 cm
Surface Area = 432 cm^2
The total surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substitute the values into the formula:
432 = 2(9)(9) + 2(9)(l) + 2(9)(l)
Simplify and solve for l:
432 = 162 + 18l + 18l
432 = 162 + 36l
270 = 36l
l = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.