In determining the density of a rectangular metal bar, a student made the following measurements: length, 8.53 cm; width, 2.4 cm; height, 1.0 cm; mass, 52.7064 g. Calculate the density of the metal to the correct number of significant figures.

Respuesta :

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