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Mathematics 7 Online
OpenStudy (ayyookyndall):

Help Needed!

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?

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

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

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

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

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?

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?

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.

OpenStudy (ayyookyndall):

Oh okay. Thats fine. :)

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