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We are asked to find the volume and density of a substance that has a mass equal to 850g. We are going to assume that the volume of the substance will be equal to the volume of the rectangular prism shown.
The volume of the rectangular prism will be:
[tex]\begin{gathered} Volume=7cm\times6cm\times4cm \\ Volume=168cm^3 \end{gathered}[/tex]Now, the density related the mass with the volume and it has the following equation:
[tex]Density=\frac{Mass}{Volume}[/tex]We replace the known data:
[tex]\begin{gathered} Density=\frac{850g}{168cm^3} \\ Density=5.06g/cm^3 \end{gathered}[/tex]Answer:
The volume is 168 cm^3 and the density is 5.06g/cm^3