Linda buys blocks of chocolate that are 15 inches by 10 inches by 5 inches. She then melts the chocolate and pours it into cone molds that are 6 inches tall with a diameter of 3 inches. How many chocolate cones does she make out of each block? How much chocolate is left over?
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OpenStudy (quickthing):
@amistre64
OpenStudy (confluxepic):
First you have to find the volume of the chocolate and then the volume of a cone. @quickthing
OpenStudy (quickthing):
Okay, I shall try.
OpenStudy (quickthing):
The chocolate is a cube, right?
OpenStudy (confluxepic):
The chocolate is a rectangular prism.
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OpenStudy (quickthing):
Oh okay.
OpenStudy (quickthing):
let me get a picture of one.
OpenStudy (confluxepic):
A cube would have all the same sides. But this one doesn't. It is 15 inches by 10 inches by 5 inches.
OpenStudy (quickthing):
Right hang on, let me label the one I have.
OpenStudy (quickthing):
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OpenStudy (quickthing):
Does that look OK?
OpenStudy (confluxepic):
Yes.
OpenStudy (confluxepic):
\(\huge\ Volume=length \times base \times height\)
OpenStudy (quickthing):
Awesome. Now then, the volume of a rectangular prism is l w h
OpenStudy (quickthing):
Oh you beat me lol
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OpenStudy (confluxepic):
So you just plug in the values.
OpenStudy (quickthing):
OK. 15*10*5 = 750 inches cubed
OpenStudy (confluxepic):
Correct.
OpenStudy (quickthing):
I have a few more questions. Would you take a look?
OpenStudy (quickthing):
O wait, there's another part to this.
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OpenStudy (confluxepic):
Yes.
OpenStudy (quickthing):
So the molds are circles....
OpenStudy (confluxepic):
No. They are cones.
OpenStudy (quickthing):
Ohhhh.
OpenStudy (confluxepic):
|dw:1431292477707:dw|
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