Massie bought a glass figure as a souvenir at a museum gift shop. The area of the rectangular base of the pyramid is twelve square centimeters. Its height is 7 centimeters. What is the volume of the pyramid?
twenty-eight cubic centimetres
eighty-four cubic centimeters
four hundred twenty cubic centimeters
one thousand, eight cubic centimeters
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OpenStudy (yanasidlinskiy):
Do you know the formula??
OpenStudy (anonymous):
i dont actually
OpenStudy (yanasidlinskiy):
It's ok. That's why you're here:)
OpenStudy (anonymous):
ok so you can help =D
OpenStudy (yanasidlinskiy):
The volume can be found by this formula:
\[V=\frac{ 1 }{ 3 }\times S~base \times h\]
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OpenStudy (anonymous):
ok hold on let me get a pen and paper
OpenStudy (yanasidlinskiy):
Go right ahead:)
OpenStudy (anonymous):
wait i already have on but ok :)
OpenStudy (anonymous):
ok so how would i do this :/
OpenStudy (yanasidlinskiy):
I provided you the formula already. All you have to do is plug in the numbers:)
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OpenStudy (anonymous):
wait so it would be set up as v=1/3x12x7?
OpenStudy (yanasidlinskiy):
Yep! That's what is is:)
OpenStudy (yanasidlinskiy):
So, what does that equal?
OpenStudy (anonymous):
ummmmmmmm
OpenStudy (yanasidlinskiy):
It's not that hard when you have it already.."Given" :D
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OpenStudy (anonymous):
28?
OpenStudy (yanasidlinskiy):
Yep!!!! It would be \[28cm ^{2}\]
OpenStudy (anonymous):
=DDD
OpenStudy (yanasidlinskiy):
You got it!!!:)
OpenStudy (anonymous):
can i ask another ?
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OpenStudy (yanasidlinskiy):
Sure.
OpenStudy (anonymous):
ok hold on
OpenStudy (anonymous):
OpenStudy (anonymous):
got tuck on this one as well
OpenStudy (yanasidlinskiy):
I gotcha:) Hang on real quick :D
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OpenStudy (yanasidlinskiy):
The volume of a cone is:
\[\frac{ 1 }{ 3 } \pi r^2h\]
h = height
and pi r^2 is = to the area of the base of the cone....which you are also given (150)
So now..It becomes to.....
\[V=\frac{ 1 }{ 3 }(150)(6)\]
OpenStudy (anonymous):
300?
OpenStudy (yanasidlinskiy):
Yep! Excellent!!!:)
OpenStudy (anonymous):
thank youuuuuuuuuuuuuuuuuuuuuuuuuuu
OpenStudy (yanasidlinskiy):
\(\huge\cal\color{cyan}{You're~Welcome!!!!}\)
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