Answered

Use the equation [tex]\( d = \frac{m}{v} \)[/tex], where [tex]\( d \)[/tex] is density, [tex]\( m \)[/tex] is mass, and [tex]\( v \)[/tex] is volume.

If a rock has a density of [tex]\( 2 \, \text{g/cm}^3 \)[/tex] and a volume of [tex]\( 8 \, \text{cm}^3 \)[/tex], what is its mass?

A. [tex]\( 16 \, \text{g} \)[/tex]
B. [tex]\( 128 \, \text{g} \)[/tex]
C. [tex]\( 4 \, \text{g} \)[/tex]
D. [tex]\( 0.25 \, \text{g} \)[/tex]



Answer :

Sure, let's solve this step-by-step using the given information.

We are provided with the density [tex]\(d\)[/tex] and the volume [tex]\(v\)[/tex] of a rock and are asked to find its mass [tex]\(m\)[/tex]. The relevant equation here is:

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

Given:
- Density, [tex]\(d = 2 \, \text{g/cm}^3\)[/tex]
- Volume, [tex]\(v = 8 \, \text{cm}^3\)[/tex]

We need to find the mass [tex]\(m\)[/tex]. We can rearrange the equation to solve for [tex]\(m\)[/tex]:

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

Substitute the given values into the equation:

[tex]\[ m = 2 \, \text{g/cm}^3 \times 8 \, \text{cm}^3 \][/tex]

[tex]\[ m = 16 \, \text{g} \][/tex]

Thus, the mass of the rock is [tex]\(16 \, \text{g}\)[/tex].

The correct answer is:
A. [tex]\(16 \, \text{g}\)[/tex]

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