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If a 200 mg piece of gold density 19.32 g cm 3 is hammered into a thin sheet measuring 2.4 10 ft How might the thickness be expressed without exponential notation using an appropriate meter prefix?
Keiefsy
milli- prefix means: x 10-3
centi- prefix means: x 10-2
volume = mass ÷ density
area = length x width
1 ft = 30.48 cm (exactly)
thickness = volume ÷ area
= (200 mg ÷ 19.32 g/cm3) ÷ (2.4 ft x 10 ft)
= (200 x 10-3 g ÷ 19.32 g/cm3) ÷ ((2.4 x 30.48) cm x (10 x 30.48) cm)
≈ 0.000000464 cm
= (4.64 x 10-7) x (10-2) m
= 4.64 x 10-9 m
= 4.64 nm
(The nano- prefix means: x 10-9.)
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∙ 10y ago
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