Question

answer the questions below. give exact integer or decimal answers. be sure to include the correct units in your answers. (a) an object has a density of 12 \\(\frac{\text{kg}}{\text{m}^3}\\) and a mass of 480 kg. what is the volume of the object? volume = (b) another object has a volume of 186 \\(\text{m}^3\\) and a mass of 744 kg. what is the density of the object? density =

Explanation:

Step1: Recall density formula

Density $
ho = \frac{m}{V}$, rearrange to $V=\frac{m}{
ho}$

Step2: Calculate volume for (a)

Substitute $m=480\ \text{kg}$, $
ho=12\ \frac{\text{kg}}{\text{m}^3}$
$V=\frac{480}{12}=40\ \text{m}^3$

Step3: Rearrange density formula for (b)

$
ho = \frac{m}{V}$

Step4: Calculate density for (b)

Substitute $m=744\ \text{kg}$, $V=186\ \text{m}^3$
$
ho=\frac{744}{186}=4\ \frac{\text{kg}}{\text{m}^3}$

Answer:

(a) $40\ \text{m}^3$
(b) $4\ \frac{\text{kg}}{\text{m}^3}$