document.write( "Question 196900: The table below shows how many cubed shaped blocks 4 children have. Each child is asked to make a rectangular prism using all their blocks. Only 1 child can make a rectangular prism that is more than one layer high, wide, and deep. That is, only one child can use alll of his/her blocks to make a prism not having any dimensions that are 1
\n" ); document.write( "which child has the appropriate number of blocks to do this, and what would the dimensions be?
\n" ); document.write( "why does the choosen number of blocks work and the others do not
\n" ); document.write( "draw a digram of the rect. solid that this child could make and determine its surface area.\r
\n" ); document.write( "\n" ); document.write( "Amir -10
\n" ); document.write( "Barb -21
\n" ); document.write( "Carlos -30
\n" ); document.write( "Dirk - 35
\n" ); document.write( "

Algebra.Com's Answer #148015 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
If we look at the problem as a volume problem. Volume of prism is x*y*z dimensions.
\n" ); document.write( ".
\n" ); document.write( "However, to have the defined prism, the total number of blocks, must have 3 integer factors.
\n" ); document.write( ".
\n" ); document.write( "only 30 has 3 factors, 3*2*5 ( 10 = 2*5,,21 =3*7 ,,35 =5*7 )
\n" ); document.write( ".
\n" ); document.write( "to find the SA = 2(3*2) + 2(3*5) +2(2*5) = 12 + 30 + 20 = 62 units squared
\n" ); document.write( ".
\n" ); document.write( "We know the prism is formed of 2 blocks by 3 blocks by 5 blocks high, but we do not know
\n" ); document.write( "how big each cube is. The best we can say is the Surface Area is 62 of the side unit squared.
\n" ); document.write( "
\n" );