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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