document.write( "Question 1121668: Rosa has a collection of 2000 construction blocks. They measure 2 cm by 5 cm by 4 cm each. Her toy chest has a volume of 50 cm by 24 cm by 75 cm. Is it possible for Rosa to put all her blocks in the toy chest? \n" ); document.write( "

Algebra.Com's Answer #737663 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "I came after our respectful tutors to make my comments.\r
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document.write( "1.  Checking the volumes only (as the tutor @solver91311 suggests) IS NOT ENOUGH for such problems.\r\n" );
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document.write( "    It would be enough had the total volume of all 2000 blocks be greater than the toy chest volume, but it is not the case :  \r\n" );
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document.write( "        the total volume of blocks is  2000*2*5*4 = 80000 cm^3;\r\n" );
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document.write( "        the volume of the toy chest    = 50*24*75 = 90000 cm^3.\r\n" );
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document.write( "    In addition, the way to put the blocks into the toy chest should be checked.\r\n" );
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document.write( "2.  Here I'd like to make my correction to the solution by tutor @Boreal.\r\n" );
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document.write( "    Match the dimensions\r\n" );
document.write( "    2 cm---with 50 cm  25 blocks\r\n" );
document.write( "    4 cm---with 24 cm   6 blocks\r\n" );
document.write( "    5 cm---with 75 cm  15 blocks\r\n" );
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document.write( "    Multiply these, just the way one would compute the volume.\r\n" );
document.write( "    25*6*15*6=2250.\r\n" );
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document.write( "    There is ENOUGH room for all of them.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Conclusion : There is ENOUGH room for all 2000 blocks.\r
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