document.write( "Question 972747: Two pyramids are ~.the slant height of the smaller pyramid is 14m and the slant height of the larger pyramid is 22m. If the volume of the larger is 138m cubed, what's the volume of the smaller pyramid? \n" ); document.write( "

Algebra.Com's Answer #595193 by KMST(5328) $\"\"$ $\"About$

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When corresponding lengths of similar solids are in a ratio $\"r\"$ ,
\n" ); document.write( "corresponding surface areas are in the ratio $\"r%5E2\"$ ,
\n" ); document.write( "and volumes are in the ratio $\"r%5E3\"$ .
\n" ); document.write( "The ratio of corresponding slant heights is $\"22m%2F%2214+m%22=11%2F7\"$ .
\n" ); document.write( "So, the ratio of the volumes is $\"%2811%2F7%29%5E2=1331%2F343\"$ .
\n" ); document.write( "The volume of the larger pyramid is $\"1331%2F343\"$ the volume of the smaller pyramid.
\n" ); document.write( "The volume of the smaller pyramid is $\"343%2F1331\"$ times the volume of the smaller pyramid, or
\n" ); document.write( " $\"%28343%2F1331%29138m%5E2=about\"$ $\"highlight%2835.56m%5E3%29\"$ \n" ); document.write( "

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