document.write( "Question 442768: a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model.
\n" ); document.write( "b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive.
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Algebra.Com's Answer #305521 by ankor@dixie-net.com(22740)\"\" \"About 
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a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model.
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\n" ); document.write( "Convert 40 cm to .4 m
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\n" ); document.write( "Use a volume proportion equation, let x = mass of the 40 cm engine
\n" ); document.write( "\"x%2F72\"= \".4%5E3%2F10%5E3\"
\n" ); document.write( "\"x%2F72\"= \".064%2F1000\"
\n" ); document.write( "Cross multiply:
\n" ); document.write( "1000x = 72 * .064
\n" ); document.write( "1000x = 4.608
\n" ); document.write( "x = \"4.608%2F1000\"
\n" ); document.write( "x = .004608 tonnes
\n" ); document.write( "change to kilograms
\n" ); document.write( ".004608*1000 = 4.61 kg
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\n" ); document.write( "b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive.
\n" ); document.write( "\".85%2Fx\"= \".064%2F1000\"
\n" ); document.write( ".064x = 1000*.85
\n" ); document.write( ".064x = 850
\n" ); document.write( "x = \"850%2F.064\"
\n" ); document.write( "x = 13,281.25 liters of water
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