This table shows the mass and volume of four different objects.
A two-column table with 4 rows. The first column titled objects has entries W, X, Y, Z. The second column titled Measurements has entries Mass: 16 grams Volume: 84 centimeters cubed in the first cell, Mass: 12 grams Volume: 5 centimeters cubed in the second cell, Mass: 4 grams Volume: 6 centimeters cubed in the third cell, Mass: 408 grams Volume: 216 centimeters cubed in the fourth cell.
Which ranks the objects from most to least dense?
X, Y, W, Z
X, Z, Y, W
W, Y, Z, X
Z, Y, X, W
Z, Y, X, W
To rank the objects from most to least dense based on the given information, we need to calculate the density for each object. Density is calculated by dividing the mass of an object by its volume.
Density of object W: Mass of W / Volume of W = 16 grams / 84 cm^3 = 0.1905 g/cm^3
Density of object X: Mass of X / Volume of X = 12 grams / 5 cm^3 = 2.4 g/cm^3
Density of object Y: Mass of Y / Volume of Y = 4 grams / 6 cm^3 = 0.6667 g/cm^3
Density of object Z: Mass of Z / Volume of Z = 408 grams / 216 cm^3 = 1.8889 g/cm^3
Based on the calculated density values, we can rank the objects from most to least dense:
X, Z, Y, W