The object with dimensions [tex]5.54\ cm \times 10.6\ cm \times 199\ cm[/tex] and with mass 250.6 g will have a density equal to [tex]0.02144\ g/cm^3[/tex].
Given:
Dimensions of the object = [tex]5.54\ cm \times 10.6\ cm \times 199\ cm[/tex]
length = l = 5.54 cm
width = w = 10.6 cm
height = h = 199 cm
Mass of the object = m = 250.6 g
Formula:
The relation between density, mass and volume of any object is given by:
[tex]Density = \frac{ Mass }{Volume}[/tex]
Since volume of an object with length (l), width (w) and height (h) [assuming a rectangular object] can be defined as,
[tex]V = l \times w \times h =5.54 \times 10.6 \times 199[/tex]
[tex]Volume = V = 11686.076\ cm^3[/tex]
[tex]Density = Mass / Volume = \frac{250}{11686.076}[/tex]
[tex]Density = 0.02144 g/cm^3[/tex]
Density of the object is [tex]0.02144 g/cm^3[/tex]
