Question

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.

Answer 1

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 :

$V=l\times b\times h$

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:

$V=(8.53cm)\times (2.4cm)\times (1.0cm)$

$V=20.472cm^3=20.472ml$

Now we have to determine the density of metal.

Formula used :

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

$\text{Density}=\frac{52.7064g}{20.472ml}$

$\text{Density}=2.5745g/ml$

Therefore, the density of metal is, 2.5745 g/ml