Answered

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What is the mass of an object that has a density of [tex]$3.2 \, g/cm^3$[/tex] and a volume of [tex]$5.5 \, cm^3$[/tex]?

(The density of an object is given by the equation [tex]d = \frac{m}{v}[/tex].)

A. [tex]1.72 \, g[/tex]
B. [tex]8.7 \, g[/tex]
C. [tex]17.6 \, g[/tex]
D. [tex]0.057 \, g[/tex]


Sagot :

To find the mass of an object given its density and volume, we use the formula for density:

[tex]\[ d = \frac{m}{v} \][/tex]

where:
- [tex]\( d \)[/tex] is the density
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the volume

In this problem, the density ([tex]\( d \)[/tex]) of the object is [tex]\( 3.2 \, \text{g/cm}^3 \)[/tex], and the volume ([tex]\( v \)[/tex]) is [tex]\( 5.5 \, \text{cm}^3 \)[/tex]. We need to find the mass [tex]\( m \)[/tex], using the relation [tex]\( d = \frac{m}{v} \)[/tex].

Rearranging the formula to solve for mass ([tex]\( m \)[/tex]):

[tex]\[ m = d \times v \][/tex]

Next, we substitute the given values for density and volume into the equation:

[tex]\[ m = 3.2 \, \text{g/cm}^3 \times 5.5 \, \text{cm}^3 \][/tex]

Perform the multiplication:

[tex]\[ m = 3.2 \times 5.5 \][/tex]
[tex]\[ m = 17.6 \, \text{g} \][/tex]

Hence, the mass of the object is [tex]\( 17.6 \, \text{g} \)[/tex].

Therefore, the correct answer is:
C. [tex]\( 17.6 \, \text{g} \)[/tex].
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