13. The diagram shows the top view of a prism that has a height of 17.5 cm. Which of the following is the best approximation of the volume of the prism?
(Points : 5)
1414 cm3
546 cm3
315 cm3
273 cm3
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OpenStudy (anonymous):
OpenStudy (bibby):
I think you m ight be able to draw a line down the middle to find the area of the triangle and multiply it by the height
OpenStudy (anonymous):
wht is that?
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
I don't know how to do that bibby.. I alwasy get it wrong
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OpenStudy (anonymous):
always*
OpenStudy (bibby):
ok, use the pythagorean theorem
OpenStudy (anonymous):
|dw:1427160038559:dw|
OpenStudy (anonymous):
I have the photo there molly?
OpenStudy (bibby):
|dw:1427160093091:dw|
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OpenStudy (anonymous):
Still dont know how to do it... ugh
OpenStudy (anonymous):
come on why u have to do that
OpenStudy (anonymous):
Do what? lol
OpenStudy (anonymous):
wht bibby did
OpenStudy (bibby):
or you can just use \(a=\dfrac{\sqrt3}{4}a^2=\dfrac{\sqrt3}{4}6^2\)
then recall that volume is base*height
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which all you have to do is to search up the right calculator and plug the right numbers in.
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OpenStudy (jhannybean):
|dw:1427160118173:dw||dw:1427160224360:dw|
OpenStudy (bibby):
I'm sorry I'm too distracted to write out an answer. jhanny got you though don't worry
she's really cool
OpenStudy (anonymous):
:/
OpenStudy (anonymous):
*molly is unsatisfied* :P
OpenStudy (anonymous):
Oh ok! Thanks anyways:)
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OpenStudy (jhannybean):
\[V_{\triangle} = \sf \text{area of base} \times \sf \text{height}\]
OpenStudy (anonymous):
there goes @Jhannybean typing an endless reply :P
OpenStudy (anonymous):
oh nvm it ended
OpenStudy (anonymous):
I'm really confused still..
OpenStudy (anonymous):
the thing is that you have to figure out the area of the triangle and multiply it by umm.... 17.5
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OpenStudy (anonymous):
area is 8.71?
OpenStudy (bibby):
|dw:1427160659650:dw|
have you figured out h here?
use that to determine the area of the base.
multiply that by the height to get the volume. (the volume is a sum of areas)
OpenStudy (anonymous):
So the area is 8.71?
OpenStudy (anonymous):
uh no it's around 20
OpenStudy (anonymous):
area of the base is around 20?
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