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 : 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 :

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:

Now we have to determine the density of metal.

Formula used :

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