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Question:

Thickness of the foil.?

A package of aluminum foil contains 50ft^2 of foil, which weighs approximately 8.0ozAluminum has a density of 2.70 g/cm^3What is the approximate thickness of the foil in millimeters?

Answer:

this problem requires you to know the density formula as well as make conversions into a standard set of units first, recall that density mass/volume you are given the density and the mass, so we can find the volume from: volume mass/density first, let's convert the mass (they are actually giving you a weight, but let's not quibble) from ounces to gramsthere are 453.6 grams/lb and 16 ounces per pound, so there are 28.35 grams/ounce and therefore 226.8 grams in 8 ouncesThis tells us that the volume of the foil is volume 227.6 g/ 2.7 g/cm^3 84.3 cm^3 now, how do we get the thickness of the foil? The volume of the foil is just its area times its thickness, so we know that volume area x t where we want to solve for t, the thickness first, we convert 50 ft^2 to cm^2: 1 ft^2 12 in x12 in 144 in^2 1 in^2 2.54 cm x 2.54 cm 6.45 cm^2 so that 1 ft^2 144 x 6.46 cm^2 929 cm^2 and 50 ft^2 46,451 cm^2 so, we now know volume 46,451 x t and this equals 84.3 cm^3 thus: t 84.3 cm^3/46,451cm^2 0.0018 cm 0.018 mm
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