The maximum length of foil can be made from 1.19 kg of foil is 81078.13 mm
The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as
Density = mass / volume
We'll begin by calculating the volume of the foil. This can be obtained as illustrated below:
Density = mass / volume
Cross multiply
Density × volume = mass
Divide both sides by density
Volume = mass / density
Volume = 1190 / 2.7
Multiply by 1000 to express in mm³
Volume = (1190 / 2.7) × 1000
Volume of foil = 440740.74 mm³
Volume = Length × Width × Thickness
440740.74 = L × 302 × 0.018
Divide both sides by (302 × 0.018)
L = 440740.74 / (302 × 0.018)
Length of foil = 81078.13 mm
Thus, the maximum length of the foil is 81078.13 mm
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Complete question
Rolls of foil are 302 mm wide and 0.018 mm thick. (The density of foil is 2.7 g/cm³)
What maximum length of foil can be made from 1.19 kg of foil?
