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How many washers can be made from a cube of metal 4 inches on a side if the washers are 5/8 inch in diameter and 1/6 inch thick?The hole in the center of the washers is 1/4 inch in diameter.
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\n" ); document.write( "The answer can be found by:
\n" ); document.write( "\"volume of cube\" divided by \"volume of a single washer\"
\n" ); document.write( ".
\n" ); document.write( "First, volume of cube:
\n" ); document.write( "Since it's a cube, all sides are equal so
\n" ); document.write( "height * width * length
\n" ); document.write( "4*4*4 = 64 cubic inches
\n" ); document.write( ".
\n" ); document.write( "Second, volume of washer:
\n" ); document.write( "\"volume of entire disc\" - \"volume of center hole\"
\n" ); document.write( "Let's calculate:
\n" ); document.write( "\"volume of entire disc\" = \"area of circle\" * thickness
\n" ); document.write( "(pi)r^2 * thickness
\n" ); document.write( "(3.14)(5/8)^2 * (1/6)
\n" ); document.write( "(3.14)(25/64)(1/6)
\n" ); document.write( "(3.14)(0.390625)(1/6)
\n" ); document.write( "0.204
\n" ); document.write( "\"volume of center hole\"
\n" ); document.write( "(pi)r^2 * thickness
\n" ); document.write( "(3.14)(1/4)^2 * (1/6)
\n" ); document.write( "(3.14)(1/16) * (1/6)
\n" ); document.write( "(3.14)(1/96)
\n" ); document.write( "0.033
\n" ); document.write( "\"volume of washer\" then is:
\n" ); document.write( "0.204-0.033 = 0.171 cubic inches
\n" ); document.write( ".
\n" ); document.write( "Conclusion:
\n" ); document.write( "\"volume of cube\" divided by \"volume of a single washer\"
\n" ); document.write( "64/0.171 = 374 (number of washers from the cube) \n" ); document.write( "