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. 07.69 points 1 Previous Answers OSColPhys1 11.P001.Tutenal.WA It is known that

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Question

. 07.69 points 1 Previous Answers OSColPhys1 11.P001.Tutenal.WA It is known that a cubical object made of cast aluminum 0.125 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 5.05 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70 x 10 kg/m My Notes Ask Your Teac How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical obyect related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the abe-m | Tutorial

Explanation / Answer

total volume = 0.125^3

volume of aluminium = mass / density

= 5.05 / (2.70 x 10^3)

= 1.87 x 10^-3 m^3


Volume of cavity = total volume - aluminium volume

= 0.125^3 - (1.87 x 10^-3)

= 8.275 x 10^-5 m^3


L^3 = 8.275 x 10^-5  

L = 0.044 m