Question

1. which object would have the greatest density?

a. w b. x c. y d. z
object | mass (g) | volume (cm³)
w | 1 | 1,000
x | 10 | 1,000
y | 1,000 | 10
z | 1,000 | 1

Explanation:

Step1: Recall density formula

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

Step2: Calculate density of W

For object W, $m = 1$ g and $V=1000$ cm³. So $
ho_W=\frac{1}{1000}= 0.001$ g/cm³.

Step3: Calculate density of X

For object X, $m = 10$ g and $V = 1000$ cm³. So $
ho_X=\frac{10}{1000}=0.01$ g/cm³.

Step4: Calculate density of Y

For object Y, $m = 1000$ g and $V = 10$ cm³. So $
ho_Y=\frac{1000}{10}=100$ g/cm³.

Step5: Calculate density of Z

For object Z, $m = 1000$ g and $V = 1$ cm³. So $
ho_Z=\frac{1000}{1}=1000$ g/cm³.

Step6: Compare densities

Comparing $
ho_W = 0.001$ g/cm³, $
ho_X=0.01$ g/cm³, $
ho_Y = 100$ g/cm³ and $
ho_Z=1000$ g/cm³, we can see that object Z has the greatest density.

Answer:

d. Z