volume of a barn

It is 15ft. But I don't quite understand your question. Are you asking for permission? Or guessing? There is no guessing in math. You concluded that it's 15ft - fine, don't be afraid to say it.
Yes, you're right. I'm still insecure.
15 because the length here is the distance between the two triangular bases.
 
Now, h2 being found, let's plug it in and solve for V
V= 1/2 (24*20.5)15

V=1/2(492)15

V=1/2(7380)

V=3690 ft^3

So the total volume of the barn is 2340+3690=6030 ft^3.
 
The volume of the rectangular prism below the roof is:

V=LWH You are given 24, 15, 6.5 ft
V=24*15*6.5= 2340 ft^3

Then you need to find the roof volume which will be the area of the triangle times the depth of the structure. You are told the peak is 9 yards or 27 feet from the ground. So the height of the triangles is 27-6.5=20.5 ft.

The area of the triangle is A=base*height/2. The total volume of the roof will be that area time the depth:
V=(bh/2)d, we know b=24, h=20.5, and d=15

V=(24/2)*(20.5)*15
V=3690 ft^3

So the total volume of the barn is 2340+3690=6030 ft^3
Thanks a lot, I appreciated coming to my rescue. Lev is right ,though. When it comes to math, the best way is the hard way. Thanks again. Drop me hints and that will be a lot of help for me.
 
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