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One metal object is a cube with edges 3.00 cm and a mass of 140.4 g. a second is a sphere with a radius of 1.42 cm and a mass of 61.6 g. are these objects made of the same metal?

Sagot :

Yes, the objects made of the same metal.

The volume of the first object, which is a cube, is equal to the edge length cubed.

This volume is converted to mL as follows:

V1 = [tex](3 cm)^{3}[/tex] = 27 [tex]cm^{3}[/tex] = 27 mL

Based on its given mass, the density will be:

d1 = m1/V1

   = 140.4g/ 27.0 mL

   = 5.20g/mL

The following thing is a sphere. We calculate the volume of a sphere using the following formula, with the result expressed in  mL:

V1 = 4/3 *[tex]\pi[/tex]* [tex](1.42)^{2}[/tex]

= 12 [tex]cm^{3}[/tex]

= 12 mL

The density based on the following mass will be 

d2= m2/V2

= 61.6 g/12.0 mL

= 5.14 g/mL

These two computed densities are separated by about 1%. We can determine that these objects are made of the same metal based on the precision of +/- 1% provided.

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