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Mathematics 23 Online
OpenStudy (anonymous):

Check please

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) \ i think it is 9

OpenStudy (anonymous):

yes its 9cm^3

OpenStudy (anonymous):

@

OpenStudy (anonymous):

@freckles

OpenStudy (anonymous):

@EmmaMink

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

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: \[\huge\left(\frac{ 1 }{ 3 }(3^2)(3)\right)\]

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)

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

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

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

OpenStudy (anonymous):

thank you guy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

OpenStudy (anonymous):

Do you kinda get why?

OpenStudy (anonymous):

yes qwell bye i have to go

OpenStudy (anonymous):

Ok.

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