Respuesta :
Answer:
[tex]4,080grams[/tex]
Step-by-step explanation:
the formula for density is:
[tex]d=\frac{m}{V}[/tex]
where d is density, m is mass, and V is volume.
solving for m in the last equation:
[tex]m=d*V[/tex]
so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex] we will get the mass of the object.
The volume of a rectangular prism is given by:
[tex]V=l*w*h[/tex]
where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:
[tex]l=5in\\w=3in\\h=2in[/tex]
we substitute to find the volume:
[tex]V=5in*3in*2in\\V=30in^3[/tex]
since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:
[tex]1in^3=16.3871cm^3[/tex]
multiplying by 30:
[tex]30in^3=491.612cm^3[/tex]
and now we find the mass with the equation:
[tex]m=d*V[/tex]
substituting d and V:
[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]
the nearest gram is: [tex]4,080grams[/tex]
