volume of a barn

So, why don't I go ahead and try to redo the triangular prism solution. I did not follow a couple of things there. What do you think?.
 
Vt =(area of the triangular base) * (height) , V=Bh (where B is the area of the base)

But we know a formula to find the area of a triangle .

Area of a triangle= ½ bh

So we can plug ½ bh in the place of B in the equation.

Now, let’s rewrite the formula knowing this.
A = 1/2 (bh) h
I am gonna label the two h's differently not to get confused.
A = 1/2 (bh1) h2
h1= the height that I used to find the area of the triangle (so it is the height of the triangle)
h2= it is the h for the original formula (V=Bh) this h stands for the height of the prism.
the next step is to identiy these variables in our prism.
Please, can you confirm if I am going well. Just a like would be enough.
 
eddy2017 said:
Vt =(area of the triangular base) * (height) , V=Bh (where B is the area of the base)

But we know a formula to find the area of a triangle .

Area of a triangle= ½ bh

So we can plug ½ bh in the place of B in the equation.

Now, let’s rewrite the formula knowing this.
A = 1/2 (bh) h
I am gonna label the two h's differently not to get confused.
A = 1/2 (bh1) h2
h1= the height that I used to find the area of the triangle (so it is the height of the triangle)
h2= it is the h for the original formula (V=Bh) this h stands for the height of the prism.
the next step is to identiy these variables in our prism.
Please, can you confirm if I am going well. Just a like would be enough.
Click to expand...
Looks good.
 
Identifying variables.
A = 1/2 (bh1) h2
A= 1/2 (24*
I am stuck here. I am confused about the heights given.
h1 is the height of the triangle, and the problem says that is 9 yd but from base to peak.
If i take the whole 9 yd= or 27 ft I will be taking part of the rectangular prism too. I don't think that is ok, or is it?.
 
eddy2017 said:
Identifying variables.
A = 1/2 (bh1) h2
A= 1/2 (24*
I am stuck here. I am confused about the heights given.
h1 is the height of the triangle, and the problem says that is 9 yd but from base to peak.
If i take the whole 9 yd= or 27 ft I will be taking part of the rectangular prism too. I don't think that is ok, or is it?.
Click to expand...
Yes, this is the missing dimension, but it's possible to calculate it. Look at the drawing of the whole barn and see which dimensions can help you.
 
lev888 said:
Yes, this is the missing dimension, but it's possible to calculate it. Look at the drawing of the whole barn and see which dimensions can help you.
Click to expand...
Would the height of the triangle be the half of the entire height , i mean half of 9 yd or 27 feet. Is that possible?.
and the other height 6 1/2 =6.5 is the height for the rectangular prism, not for the triangular prism or roof in this cae.
 
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eddy2017 said:
Would the height of the triangle be the half of the entire height , i mean half of 9 yd or 27 feet. Is that possible?.
Click to expand...
You wrote above: "If i take the whole 9 yd= or 27 ft I will be taking part of the rectangular prism too. I don't think that is ok, or is it?"
You are correct - this is not the way to go, because you are including the rectangular prism. So, if you want to exclude the rectangular prism from the 27 ft total, what should you do?
 
lev888 said:
You wrote above: "If i take the whole 9 yd= or 27 ft I will be taking part of the rectangular prism too. I don't think that is ok, or is it?"
You are correct - this is not the way to go, because you are including the rectangular prism. So, if you want to exclude the rectangular prism from the 27 ft total, what should you do?
Click to expand...
Just find the feet from those 27 that represents the height of the triangular prism.
Or take away the 6 1/2 ft (the height of the rectangular prism) from 27 ft.
Yes, this is the way to go. I feel i am right.
61/2 =6.5 ft
so , 27 ft -6.5 ft =20.5ft
 
How would you write sixty-one divided by two if not 61/2. Using the same notation to write two different number is suicidal.
 
eddy2017 said:
20.5 is the height of the triangle or h1.
Click to expand...
Thanks, moving on to the other height, h2
h2 is the height of our prism. to find the height of the prism I need to find the distance between the two bases. Let me think a little bit here.
 
Isn't the distance between the two bases of the rectangular prism the same as the height, 6 1/2?.
 
eddy2017 said:
Isn't the distance between the two bases of the rectangular prism the same as the height, 6 1/2?.
Click to expand...
You need the distance between triangular bases. Please post a drawing with all dimensions marked so we know what you are referring to.
 
lev888 said:
You need the distance between triangular bases. Please post a drawing with all dimensions marked so we know what you are referring to.
Click to expand...
The problem says that the rectangular prism is 6 1/2 tall on both sides: for my untrained eye that looks as if the height between both bases is 6 1/2 or, the distance, in case we wanna change height for distance. For me distance and height are both the same thing here.
 

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eddy2017 said:
The problem says that the rectangular prism is 6 1/2 tall on both sides: for my untrained eye that looks as if the height between both bases is 6 1/2 or, the distance, in case we wanna change height for distance. For me distance and height are both the same thing here.
Click to expand...
If you look at the shape as a barn, 6 1/2 will be the height of the 2 barn walls that are 15ft long. Makes sense? I don't see how it's relevant at this point.
The height of the triangular prism is the distance between the 2 triangular bases. Which is what?
 
lev888 said:
If you look at the shape as a barn, 6 1/2 will be the height of the 2 barn walls that are 15ft long. Makes sense? I don't see how it's relevant at this point.
The height of the triangular prism is the distance between the 2 triangular bases. Which is what?
Click to expand...
Can I say that the distance between the two triangular bases is 15 ft ?.
 
eddy2017 said:
Can I say that the distance between the two triangular bases is 15 ft ?.
Click to expand...
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.
 
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