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Mathematics 10 Online
OpenStudy (anonymous):

i am not sure how to do this one! how do i get the correct answer.

OpenStudy (anonymous):

The volume of a cube is one hundred forty-four cubic meters. What is the volume of the square based pyramid with the same side length and height? A) sixteen cubic meters B) forty-eight cubic meters C) four hundred thirty-two cubic meters D) one thousand two hundred ninety-six cubic meters

OpenStudy (anonymous):

@iGreen

OpenStudy (igreen):

You have to cube 144. Volume of a Cube = \(s^3\), where s is the side. Since we want to find the side length(which will also be the height), we have to cube both sides. \(s^3 = 144\) \(s =~ ^3 \! \! \! \! \! \sqrt{144}\)

OpenStudy (igreen):

So what's the cube root of 144?

OpenStudy (igreen):

Just type it in Google.

OpenStudy (igreen):

@_lilb_to_smooth_4_U_ You there?

OpenStudy (anonymous):

one sec...

OpenStudy (anonymous):

google says 5.24148278842 is that correct it sure is long

OpenStudy (igreen):

Yep.

OpenStudy (anonymous):

ok so how i get the answer?

OpenStudy (igreen):

Okay, here's the formula for the Volume of a Square Pyramid: \(V = \dfrac{1}{3} b^2 h\) Since the height and the base are both 5.24148278842, we plug them in: \(V = \dfrac{1}{3} (5.24148278842)^2 (5.24148278842)\) \(V = \dfrac{1}{3} (27.4731418) (5.24148278842)\) Can you multiply those three together? 1/3 * 27.4731418 * 5.24148278842

OpenStudy (igreen):

@_lilb_to_smooth_4_U_

OpenStudy (anonymous):

ONE SECOND ;)

OpenStudy (anonymous):

4.79999999628 is what i got log number dude!

OpenStudy (igreen):

No, check again.

OpenStudy (igreen):

\((1/3) \times (27.4731418) \times (5.24148278842)=~? \)

OpenStudy (anonymous):

187.2

OpenStudy (igreen):

No..I'm getting something else.

OpenStudy (igreen):

Just copy and paste this into google: (1/3)(27.4731418)(5.24148278842)

OpenStudy (igreen):

I get 48.. @_lilb_to_smooth_4_U_

OpenStudy (igreen):

\((1/3)(27.4731418)(5.24148278842) \rightarrow (9.15771393)(5.24148278842) \rightarrow 48\)

OpenStudy (anonymous):

thank u

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