Answer : The density of metal is, 2.5745 g/ml
Explanation : Given,
Length of rectangular metal bar = 8.53 cm
Width of rectangular metal bar = 2.4 cm
Height of rectangular metal bar = 1.0 cm
Mass of rectangular metal bar = 52.7064 g
First we have to determine the volume of rectangular metal bar.
Formula for volume of rectangle :
[tex]V=l\times b\times h[/tex]
where,
V = volume of rectangular metal bar
l = length of rectangular metal bar
b = width of rectangular metal bar
h = height of rectangular metal bar
Now put all the given values in the above formula, we get:
[tex]V=(8.53cm)\times (2.4cm)\times (1.0cm)[/tex]
[tex]V=20.472cm^3=20.472ml[/tex]
Now we have to determine the density of metal.
Formula used :
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]
[tex]\text{Density}=\frac{52.7064g}{20.472ml}[/tex]
[tex]\text{Density}=2.5745g/ml[/tex]
Therefore, the density of metal is, 2.5745 g/ml