Question

His 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

Answer 1

Ranks the objects from most to least dense : X,Z,Y,W

Further explanation

Given

Object W : m=16 g, V=84 cm³

Object X : m=12 g, V= 5 cm³

Object Y : m=4 g, V= 6 cm³

Object Z : m=408 g g, V= 216 cm³

Required

Density

Solution

Density formula:

`\large {\boxed {\bold {\rho ~ = ~ \frac {m} {V}}}}`

ρ = density

m = mass

v = volume

1. Object W

`\tt \rho=(16)/(84)=0.19`

2. Object X

`\tt \rho=(12)/(5)=2.4`

3. Object Y

`\tt \rho=(4)/(6)=0.67`

4. Object Z

`\tt \rho=(408)/(216)=1.89`

From most to least dense : X,Z,Y,W