Question

A 2.50 gram rectangular object has measurements of 22.0 mm, 13.5 mm, and 12.5 mm. What is the object’s density in units of g/mL? Use significant figures. Do not enter “g/mL” as part of your answer. Do not use scientific notation.

Answer 1

Density is equal to the ratio of mass to the volume.

Mathematical expression is given by:

$Density = \frac{mass}{volume}$     (1)

Mass of the rectangular object  = 2.50 g

Volume  = $22.0 mm\times 13.5 mm\times 12.5 mm$

= 3712.5 $mm^{3}$

Now, convert $mm^{3}$ into mL

1 $mm^{3}$ = 0.001 mL

Thus, volume  =  3.7125 mL

Put the values in formula (1)

$Density = \frac{2.50 g}{3.7125 mL}$

= 0.6734 g/mL

In three significant figures, density is equal to 0.673 g/mL

Hence, density is equal to 0.673 g/mL