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A container must hold 400 cubic inches of sand. Accurately sketch and label the dimensions of a rectangular prism, shere,and cylinder which will each hold 400 cubic inches of sand with the least amount of wasted space. Show the calculation that verifty that each container will hold 400 cubic inches.
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\n" ); document.write( "Use the formulas:
\n" ); document.write( "Prism: lwh=400 cu in
\n" ); document.write( "Let l=8;w=5;h=10
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\n" ); document.write( "Sphere: (4/3)(pi)r^3=400 cu in
\n" ); document.write( "r^3 = (3/4)(400)(pi)= 300pi
\n" ); document.write( "Take the cube root to get:
\n" ); document.write( "r=9.804 inches
\n" ); document.write( "diameter = 2r=19.61 in
\n" ); document.write( "--------------
\n" ); document.write( "Cylinder: (pi)r^2h=400 cu in
\n" ); document.write( "r^2=400/(pi)h
\n" ); document.write( "Let h=10 then r^2 = 40/(pi)
\n" ); document.write( "Take the square root of 40/(pi) to get:
\n" ); document.write( "r= 3.56 inches
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "