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
To find the missing length of the rectangular prism, we first need to calculate the total surface area of the prism.
The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Given dimensions:
- height = 9 cm
- width = 9 cm
- surface area = 432 cm2
Plugging in the values:
432 = 2(9)(9) + 2(9)h + 2(9)h
432 = 162 + 18h + 18h
432 = 162 + 36h
270 = 36h
h = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.