Mathematics
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OpenStudy (anonymous):
Check please
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OpenStudy (anonymous):
Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)
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i think it is 9
OpenStudy (anonymous):
yes its 9cm^3
OpenStudy (anonymous):
@
OpenStudy (anonymous):
@freckles
OpenStudy (anonymous):
@EmmaMink
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OpenStudy (anonymous):
Do you know the formula of a square pyramid?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
We know that the square pyramid can not be taller than our cube
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
And our cube's dimensions is 3 by 3 by 3
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
To fit perfectly this pyramid must have a base of 3 by 3 and a height of 3
OpenStudy (anonymous):
So what is the formula to a square pyramid?
OpenStudy (anonymous):
1 over 3(B)(h),
OpenStudy (anonymous):
Yes so plugging in our values we would get this:
\[\huge\left(\frac{ 1 }{ 3 }(3^2)(3)\right)\]
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OpenStudy (anonymous):
so i'm i correct?
OpenStudy (anonymous):
The value we get is 9, you were correct!
OpenStudy (anonymous):
ok an you help with one more?
OpenStudy (emmamink):
yes!!!
OpenStudy (anonymous):
A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 points)
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OpenStudy (anonymous):
15 in3 20 in3 25 in3 30 in3
OpenStudy (anonymous):
did you knowed that ttb123456789 is suspended for his 11 years age?
OpenStudy (anonymous):
until he gets 13?
OpenStudy (anonymous):
The formula of a cone is this\[\Huge\frac{ 1 }{ 3}\pi(r)^2(h)\]
OpenStudy (anonymous):
And we set this equal to 5
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OpenStudy (anonymous):
i8'm confused how to solve
OpenStudy (anonymous):
Sorry, I was unclear let me clairfy
OpenStudy (anonymous):
i'm confused how to slove?
OpenStudy (anonymous):
The cone and the cylinder share the same radius
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
So the radius can be anything (I believe) and equal the same volume
OpenStudy (anonymous):
@EmmaMink
OpenStudy (anonymous):
\[\frac{ 5(1)^2(height) }{ 3 } = 5\]
OpenStudy (anonymous):
@freckles
OpenStudy (anonymous):
It's 15
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OpenStudy (anonymous):
thank you guy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
OpenStudy (anonymous):
Do you kinda get why?
OpenStudy (anonymous):
yes qwell bye i have to go
OpenStudy (anonymous):
Ok.