Question 1177847
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            The solution and the answer in the post by  @MathLover1 are both  ABSOLUTELY  WRONG.


            I came to bring a correct solution.



<pre>
For similar 3D solids, the ratio of their volumes is the cube of the ratio of their respective linear dimensions.


Since in this problem the ratio of linear dimensions is  {{{3/4}}},  the ratio of their volumes is  {{{(3/4)^3}}}.


Therefore, the volume of the larger pyramid is  {{{30*(4/3)^3}}} = {{{1920/9}}} = 213 {{{1/3}}}  cm^3.



<U>ANSWER</U>.  The larger pyramid volume is   213 {{{1/3}}}   cm^3.
</pre>

Solved &nbsp;&nbsp;(correctly).


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For your safety, &nbsp;ignore the post by &nbsp;@MathLover1.



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Looking into her activity in last several days, I start thinking that


@MathLover1 presents a real danger for any visitor to this forum, because she provides wrong solutions even to simplest Math problems.



See my notes to her posts in past two days


https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1177850.html


https://www.algebra.com/algebra/homework/Volume/Volume.faq.question.1177847.html


https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.1177846.html


https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1177800.html


https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1177804.html