Math

QuestionFind the mass of aluminum foil (length 14.79 cm, thickness 0.02 mm, density 2.71 g/cm32.71 \mathrm{~g/cm}^{3}) with volume 0.4 cm30.4 \mathrm{~cm}^{3}.

Studdy Solution

STEP 1

Assumptions1. The length of the aluminum foil is14.79 cm. The thickness of the aluminum foil is0.02 mm3. The density of aluminum is .71 g/cm3.71 \mathrm{~g/cm}^{3}
4. The volume of the aluminum foil is 0.4 cm30.4 \mathrm{~cm}^{3}
5. The width of the aluminum foil is not provided, but it is not needed for this problem because we are given the volume directly

STEP 2

We know that the mass of an object can be found by multiplying its volume by its density. We can write this as a formulaMass=VolumetimesDensityMass = Volume \\times Density

STEP 3

Now, plug in the given values for the volume and density to calculate the mass.
Mass=0. cm3times2.71 g/cm3Mass =0. \mathrm{~cm}^{3} \\times2.71 \mathrm{~g/cm}^{3}

STEP 4

Calculate the mass of the aluminum foil.
Mass=0.4 cm3times2.71 g/cm3=1.084 gMass =0.4 \mathrm{~cm}^{3} \\times2.71 \mathrm{~g/cm}^{3} =1.084 \mathrm{~g}The mass of the aluminum foil is1.084 grams.

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