What is the missing length of a rectangler prism where the height and width are 9cm and the surface area is 432cm
To find the missing length of the prism, we first need to calculate the total surface area of the prism.
The formula for the surface area of a rectangular prism is:
Surface area = 2(lw + lh + wh)
Given:
Width (w) = 9cm
Height (h) = 9cm
Surface area = 432cm
Substitute the given values into the formula:
432 = 2(l * 9 + 9 * 9 + 9 * 9)
432 = 2(9l + 81)
432 = 18l + 162
2l = 270
l = 135cm
Therefore, the missing length of the rectangular prism is 135cm.