The Vehicle assembly building at Kennedy space center is a rectangular prism. It is 218 m long, 158 m wide and 160 m tall. There are four 139 m tall doors in the building, averaging 29 m in width. What is the buildings outside surface area when the doors are open?

104,196 square meter

Step-by-step explanation:

This question can be solved by using the formula of area of four side in a

rectangular prism

In the given problem we have

Length of building = 218m

width of building = 158m

height of building = 160

Area of four walls is given by formula = 2*(L + B) * H

where L is length of rectangular prism

B is width of rectangular prism

H is height of rectangular prism

Therefore total surface area of building = 2*(218 + 158)* 160 = 376*320= 120,320

No of doors in the building = 4

length of door = 139m

width of door = 29 m

area of one door = length * width = 139* 29 = 4,031

area of four door = 4* 4,031 = 16,124

we have to find surface area of building when doors are open

To find this we can subtract total area of four door from total surface area of four walls which we have calculated above

total surface area of four walls - total area of four door

=> 120,320 - 16,124 = 104,196

104,196 is the buildings outside surface area when the doors are open