What is the missing length of a rectangler prism where the height and width are 9cm and the surface area is 432cm

1 answer

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.