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How many kilograms is a 1 square meter of aluminum having a thickness of one fourth of an inch?
Take density of aluminum = 2.70 g/(cm^3) Reference: Chemistry textbook, Addison-Wesley, 2002, table on pg 69)
Density = mass / volume ; therefore: mass = density * volume.
We know the density; we need to compute the volume.
1 in = 2.54 cm, so 1/4 in = (2.54/4) cm = 0.635 cm
Volume would be area * thickness, for this object.
Area = 1 m2 (a square 1 m * 1 m): 1 m * 1 m = (100 cm)*(100 cm) = 10000 cm2
Volume = ( 10000 cm2 ) * 0.635 cm = 6350 cm3
Mass = 6350 cm3 * 2.70 g/(cm^3) = 17145 g
1 kg = 1000 g, so 17145 g / (1000 g/kg) = 17.145 kg
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