Mathematics
9 Online
OpenStudy (anonymous):
Find the lateral area the regular pyramid. with a slant of 4in. and base sides are 4in
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OpenStudy (anonymous):
|dw:1352056143669:dw|
OpenStudy (anonymous):
Pleas help
OpenStudy (anonymous):
Is base a triangle?
OpenStudy (anonymous):
no sorry lol
OpenStudy (anonymous):
There are 4 triangle facets.
I think \[Area = 4 \times 4 \times 4 \times \sin60\]
\[Area = 32\sqrt{2}\]
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OpenStudy (anonymous):
Each triangle has an area \[8\sqrt{2}\]
OpenStudy (anonymous):
was that the L.A. or T.A.?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
lateral area will be 4 times the area of triangle.
OpenStudy (anonymous):
32 square root 8?
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OpenStudy (anonymous):
Silon?
OpenStudy (anonymous):
oops sorry.\[\sin60 = \frac{ \sqrt{3} }{ 2 }\]
The area is \[32\sqrt{3}\]
OpenStudy (anonymous):
OH ok so the L.A. is \[\sqrt[32]{3} \]
OpenStudy (anonymous):
hehe, I mean \[32\times \sqrt{3}\]
OpenStudy (anonymous):
ok? i am looking for an answer that looks like _ _ \[\sqrt{_}\]
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OpenStudy (anonymous):
sorry im new to this the answer should look like
_ _ sqr _
OpenStudy (anonymous):
32 sqrt 3 ?
OpenStudy (anonymous):
no that answer is only partially right
OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
partially right?
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OpenStudy (anonymous):
yes i am doing the question online and it say it is only partially correct
OpenStudy (anonymous):
Can you send me print screen pic as a attachment, so I can see?
OpenStudy (anonymous):
OpenStudy (anonymous):
did that help?
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OpenStudy (anonymous):
Got it, Actually, we have 3 facets. The base is a triangle. \[LA = 3 \times 4 \times 4 \sin60 = 24\sqrt{3}\]
OpenStudy (anonymous):
awesome thank you SO MUCH. can you also find the T.A.?
OpenStudy (anonymous):
What is TA?
OpenStudy (anonymous):
triangle area?
OpenStudy (anonymous):
Total Area
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OpenStudy (anonymous):
Sure, \[TA = 4 \times 4 \times 4 \sin60 = 32\sqrt{3}\]
OpenStudy (anonymous):
You awesome. now if your up for it? can you find the volume?
OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
oh no and i just submitted those answers and they are still partially correct.
OpenStudy (anonymous):
Let me correct mistakes.each triangle has an area \[Area of \triangle = \frac{ 4\times4 \times \sin60 }{ 2 }\]
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OpenStudy (anonymous):
Area of triangle is 4 sqrt 3
OpenStudy (anonymous):
\[LA = 3\times4\sqrt{3} =12\sqrt{3}\]
OpenStudy (anonymous):
\[TA = 4\times 4\sqrt{3} = 16\sqrt{3}\]
OpenStudy (anonymous):
\[The Volume =\frac{ 4^{3} }{ 6\sqrt{2} } = \frac{ 16\sqrt{2} }{ 3 }\]
OpenStudy (anonymous):
Sorry that I made a stupid mistake :(
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OpenStudy (anonymous):
Hello?
OpenStudy (anonymous):
hey sorry i thought you left.
OpenStudy (anonymous):
All of those answers are correct thank you so much.
OpenStudy (anonymous):
You are welcome :)