Answer:
1872 ft.²
Step-by-step explanation:
First lets figure out all of the easy shapes:
The bottom one: 8 * 7 = 56
The one on the left: 5 * 8 = 40
The one of top: 8 * 3 = 24
The slanted rectangle: 5 * 8 = 40
The small rectangle below that : 2 * 8 = 16
Now we just have the polygon facing toward us. It can be broken up into 2 parts:
The lower half: 2 * 7 = 14
Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:
A = ((a + b) / 2) * h
What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:
(3 + 7) / 2 = 5 * 3 = 15
15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:
14 + 15 = 29
Then do the same again for the other identical figure
14 + 15 = 29
Now we have all the areas of our shapes. Let's add them up:
56 + 40 + 24 + 40 + 16 + 29 + 29 = 234
234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:
234 * 8 = 1872 ft.²
Don't forget to include units!
