document.write( "Question 1064112: Mia has many rectangular blocks, each measuring 4cm by 3cm by 2cm. The number of blocks she must use to make the smallest possible cube is what? \n" ); document.write( "
Algebra.Com's Answer #679152 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
If she must use whole blocks,
\n" ); document.write( "the length b(in cm) of thredges of the cube must be
\n" ); document.write( "a multiple of 2, 3, and 4.
\n" ); document.write( "The smallest such multiple is 3×4=12=2×6.
\n" ); document.write( "A cube with edges measuring 12 cm
\n" ); document.write( "will require 3×4×6=\"highlight%2872%29\" blocks.
\n" ); document.write( "How do I calculate that?
\n" ); document.write( "The 4 cm edge of a block fits exactly
\n" ); document.write( "(12 cm) ÷ (4 cm) = 3 times into a 12 cm edge of the cube.
\n" ); document.write( "The 3 cm block edge fits (12 cm) ÷ (3 cm) = 4 times
\n" ); document.write( "into an adjacent cube edge.
\n" ); document.write( "A 2 cm block edge fits (12 cm) ÷ (2 cm) = 6 times
\n" ); document.write( "into a third adjacent cube edge.
\n" ); document.write( "Mia could make 3-block by 4-block square wall
\n" ); document.write( "as the front face of the cube,
\n" ); document.write( "using 3×4=12 blocks.
\n" ); document.write( "Adding another 5 such squares behind the front face,
\n" ); document.write( "she would have a 3-block by 4-block by 6-block cube,
\n" ); document.write( "made using 3×4×6=72 blocks.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "ANOTHER WAY:
\n" ); document.write( "A cube with edges measuring 12 cm has a volume of
\n" ); document.write( "(12 cm)×(12 cm)×(12 cm)=1,728 cubic cm.
\n" ); document.write( "A block measuring 4 cm by 3 cm by 2 cm has a volume of
\n" ); document.write( "(4 cm)×(3 cm)×(2 cm)=24 cubic cm.
\n" ); document.write( "(1,728 cubic cm) ÷ (24 cubic cm per block) = 72 blocks.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );