document.write( "Question 402205: A 9in by 9in by 12in jar in the shape of a rectangular prism is completely filled with gum balls of diameter 3/4 inch. Estimate the number of gum balls in the jar, and explain your reasoning. \n" ); document.write( "
Algebra.Com's Answer #284539 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The jar's volume is 9*9*12 = 972 cubic inches \n" ); document.write( "If the gumballs are stacked with their centers on a grid, one above the other, each will occupy (3/4)^3 cubic inches = 27/64. \n" ); document.write( "972/(27/64) = 2304 gumballs. \n" ); document.write( "---------- \n" ); document.write( "Stacking is more complex, tho, and the gumballs will stack such that their centers are not vertical. The jar will hold more than 2304, maybe 2500 or 2600. \n" ); document.write( " \n" ); document.write( " |