A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
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Let side of cube=x
Volume of cube=x*x*x
Let density of material=d
Weight=x*x*x*d=6 pounds
d=6/x*x*x
Now new side=2x
New volume=2x*2x*2x=8x*x*x
New weight=volume*density
=2x*2x*2x*6/x*x*x=48 pound
Volume of cube=x*x*x
Let density of material=d
Weight=x*x*x*d=6 pounds
d=6/x*x*x
Now new side=2x
New volume=2x*2x*2x=8x*x*x
New weight=volume*density
=2x*2x*2x*6/x*x*x=48 pound
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