document.write( "Question 924803: The scale factor of two similar triangular prisms is 2. The volume of the smaller prism is 52 yd3. What is the volume of the larger prism? \n" ); document.write( "

Algebra.Com's Answer #561164 by KMST(5328) $\"\"$ $\"About$

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For similar similar figures/shapes,
\n" ); document.write( "if the ratio of corresponding lengths (the scale factor) is $\"R\"$ ,
\n" ); document.write( "the ratio of corresponding areas is $\"R%5E2\"$ , and
\n" ); document.write( "the ratio of corresponding volumes is $\"R%5E3\"$ .
\n" ); document.write( "So if the scale factor is $\"2\"$ ,
\n" ); document.write( "the volume of the larger prism is
\n" ); document.write( " $\"2%5E3=8\"$ times the volume of the smaller prism.
\n" ); document.write( "So the volume of the larger prism is $\"8%2A52yd%5E3=highlight%28416yd%5E3%29\"$ . \n" ); document.write( "

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