Question

What is the density of a object whose dimensions are 5.54

Answer 1

The object with dimensions $5.54\ cm \times 10.6\ cm \times 199\ cm$ and with mass 250.6 g will have a density equal to $0.02144\ g/cm^3$.

Explanation:

Given:

Dimensions of the object = $5.54\ cm \times 10.6\ cm \times 199\ cm$

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:

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

Since volume of an object with length (l), width (w) and height (h) [assuming a rectangular object] can be defined as,

$V = l \times w \times h =5.54 \times 10.6 \times 199$

$Volume = V = 11686.076\ cm^3$

$Density = Mass / Volume = \frac{250}{11686.076}$

$Density = 0.02144 g/cm^3$

Density of the object is $0.02144 g/cm^3$