document.write( "Question 1195283: To study amoebae in pond water, a student completely ﬁlled two cube-shaped containers with samples of pond water. When ﬁlled, the ﬁrst container held 27 cubic centimeters of pond water. The length of each side of the second container was twice the length of each side of the ﬁrst container. How many cubic centimeters of pond water did the second container hold when ﬁlled?
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Algebra.Com's Answer #827726 by ikleyn(52818) $\"\"$ $\"About$

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\n" ); document.write( "To study amoebae in pond water, a student completely ﬁlled two cube-shaped containers
\n" ); document.write( "with samples of pond water. When ﬁlled, the ﬁrst container held 27 cubic centimeters
\n" ); document.write( "of pond water. The length of each side of the second container was twice the length
\n" ); document.write( "of each side of the ﬁrst container. How many cubic centimeters of pond water
\n" ); document.write( "did the second container hold when ﬁlled?
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document.write( "Since the volume of the first container is 27 cm^3, the edge of this cubic container\r\n" );
document.write( "is   = 3 cm.\r\n" );
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document.write( "Then the edge of the second container is 2*3 = 6 cm.\r\n" );
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document.write( "Hence, the volume of the second container is  6*6*6 =  = 216 cm^3.    ANSWER\r\n" );
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document.write( "Another way to solve the problem is to notice that the second cube is geometrically similar to the first cube,\r\n" );
document.write( "and the similarity coefficient is 2 (from larger to smaller cube).\r\n" );
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document.write( "It implies that the volume of the second cube is   = 8  times the volume of the smaller cube.\r\n" );
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document.write( "Thus  the volume of the second cube is  8*27 = 216 cm^3.\r\n" );
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