Question

question: 3 of 10
object mass (g) volume (cm³)
w 100 50
x 30 10
y 200 5
z 50 5
which option orders the objects from least dense to most dense?

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Calculate density of object W

$
ho_W=\frac{m_W}{V_W}=\frac{100}{50}=2$ g/cm³

Step3: Calculate density of object X

$
ho_X=\frac{m_X}{V_X}=\frac{30}{10}=3$ g/cm³

Step4: Calculate density of object Y

$
ho_Y=\frac{m_Y}{V_Y}=\frac{200}{5}=40$ g/cm³

Step5: Calculate density of object Z

$
ho_Z=\frac{m_Z}{V_Z}=\frac{50}{5}=10$ g/cm³

Step6: Order densities

$2<3<10<40$, so the order from least - dense to most - dense is W, X, Z, Y.

Answer:

W, X, Z, Y