Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the equation $d=\frac{m}{v}$, where $d =$ density, $m =$ mass, and …

Question

use the equation $d=\frac{m}{v}$, where $d =$ density, $m =$ mass, and $v =$ volume. if a rock has a density of 2 g/cm³ and a volume of 8 cm³, what is its mass?
a. 4 g
b. 128 g
c. 0.25 g
d. 16 g

Explanation:

Step1: Rearrange the density formula

Given $d=\frac{m}{v}$, we can solve for $m$ by multiplying both sides by $v$. So $m = d\times v$.

Step2: Substitute given values

We know $d = 2\ g/cm^{3}$ and $v=8\ cm^{3}$. Then $m=2\ g/cm^{3}\times8\ cm^{3}$.

Step3: Calculate the mass

$m = 16\ g$.

Answer:

D. 16 g