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OpenStudy (dan815):
you can talk about the slopes of the lines on the edges
OpenStudy (dan815):
that should tell you information about the plane that is intersecting this cube
OpenStudy (anonymous):
Good idea dan!
OpenStudy (dan815):
you can get the normal line of the plane, u can see the equation of the plane when
y=0, z=0 and x=0
OpenStudy (ayyookyndall):
Would it be a pentagon?
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OpenStudy (ayyookyndall):
I see a pentagon.
OpenStudy (dan815):
yes it is
OpenStudy (dan815):
wait no
OpenStudy (dan815):
that's a good question
OpenStudy (ayyookyndall):
I know, right. Haha
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OpenStudy (dan815):
ok it is a pentagon
OpenStudy (ayyookyndall):
Thank you. :)
OpenStudy (dan815):
yw!
OpenStudy (ayyookyndall):
Could you actually help me with another problem?
geerky42 (geerky42):
Go ahead @ayyookyndall
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geerky42 (geerky42):
Ok, we know that \(V = \pi r^2 h\), right? So isolating \(h\) will get you \(h = \dfrac{V}{\pi r^2}\)
Now plug in values and solve.
OpenStudy (ayyookyndall):
282.7 / (3.14 * 5) = 18.006?
OpenStudy (ayyookyndall):
@geerky42
OpenStudy (ayyookyndall):
Wait, actually it would be 3.6...?
geerky42 (geerky42):
Don't forgot that radius is squarded
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geerky42 (geerky42):
Yeah should be about 3.6
OpenStudy (ayyookyndall):
Can you help me with one more? Then I will make a new post.
geerky42 (geerky42):
sure
geerky42 (geerky42):
Okay, we would need to do some conversions.
How many yards are there in 15 ft? What about 3 in?
geerky42 (geerky42):
Remember yd = 3 ft = 36 in
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OpenStudy (ayyookyndall):
5 yards is in 15 ft
geerky42 (geerky42):
Right. what about 3 in?
OpenStudy (ayyookyndall):
0.0833333
geerky42 (geerky42):
Yeah, it is equal to 1/12
So 15 feet by 15 feet by 3 inches is same as 5 yards by 5 yards by 1/12 yard.
Now find volume
OpenStudy (ayyookyndall):
How do I do that? Which volume formula?
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geerky42 (geerky42):
Volume of rectangle prism is just length x width x height
geerky42 (geerky42):
So that's \(5\times5\times\dfrac{1}{12}\)
OpenStudy (ayyookyndall):
\[\frac{ 25 }{ 12 }\]
geerky42 (geerky42):
Yeah, 25/12 = 2.0833...
So we need 2.08333... yd^3 of concrete.
if the concrete costs $46.00 per cubic yard, how much 25/12 cubic yard of concretes cost?
OpenStudy (ayyookyndall):
At least $96?
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geerky42 (geerky42):
somewhere like that, yeah
geerky42 (geerky42):
$95.83 tobe exact.
OpenStudy (ayyookyndall):
Okay, awesome. Can I tag you in my next post?
geerky42 (geerky42):
Well, I need to go soon, sorry. Try tag someone else.