this table shows the mass and volume of four different objects. which ranks the objects from most to least…

this table shows the mass and volume of four different objects. which ranks the objects from most to least dense?\n|object|measurements|\n|--|--|\n|w|mass: 16 g\nvolume: 84 cm³|\n|x|mass: 12 g\nvolume: 5 cm³|\n|y|mass: 4 g\nvolume: 6 cm³|\n|z|mass: 408 g\nvolume: 216 cm³|\no x, y, w, z\no x, z, y, w\no w, y, z, x\no z, y, x, w

this table shows the mass and volume of four different objects. which ranks the objects from most to least dense?\n|object|measurements|\n|--|--|\n|w|mass: 16 g\nvolume: 84 cm³|\n|x|mass: 12 g\nvolume: 5 cm³|\n|y|mass: 4 g\nvolume: 6 cm³|\n|z|mass: 408 g\nvolume: 216 cm³|\no x, y, w, z\no x, z, y, w\no w, y, z, x\no z, y, x, w

Answer

Answer:

B. X, Z, Y, W

Explanation:

Step1: Recall density formula

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

Step2: Calculate density of object W

$\rho_W=\frac{16\ g}{84\ cm^3}\approx0.19\ g/cm^3$

Step3: Calculate density of object X

$\rho_X=\frac{12\ g}{5\ cm^3} = 2.4\ g/cm^3$

Step4: Calculate density of object Y

$\rho_Y=\frac{4\ g}{6\ cm^3}\approx0.67\ g/cm^3$

Step5: Calculate density of object Z

$\rho_Z=\frac{408\ g}{216\ cm^3}\approx1.89\ g/cm^3$

Step6: Rank densities

$2.4\ g/cm^3(\text{X})>1.89\ g/cm^3(\text{Z})>0.67\ g/cm^3(\text{Y})>0.19\ g/cm^3(\text{W})$. So the order is X, Z, Y, W.