Question

calculate the density for each substance.
drag and drop the densities and determine if it will sink or float in water.

substance	mass (g)	volume (cm³)	density (g/cm³)	will it float?
corn oil	10.4	13
water	8	8

19.32 1.00 float 0.80 sink

Explanation:

Step1: Recall density formula

Density ($
ho$) is calculated by the formula $
ho = \frac{\text{mass (m)}}{\text{volume (V)}}$. Also, water has a density of $1.00\ g/cm^3$. A substance with density greater than $1.00\ g/cm^3$ will sink in water, and less than $1.00\ g/cm^3$ will float.

Step2: Calculate density of gold

For gold, $m = 42.5\ g$, $V = 2.2\ cm^3$. So $
ho_{gold} = \frac{42.5}{2.2} \approx 19.32\ g/cm^3$. Since $19.32 > 1.00$, gold will sink.

Step3: Calculate density of corn oil

For corn oil, $m = 10.4\ g$, $V = 13\ cm^3$. So $
ho_{corn\ oil} = \frac{10.4}{13} = 0.80\ g/cm^3$. Since $0.80 < 1.00$, corn oil will float.

Step4: Calculate density of water

For water, $m = 8\ g$, $V = 8\ cm^3$. So $
ho_{water} = \frac{8}{8} = 1.00\ g/cm^3$.

Answer:

• Gold: Density = $19.32\ g/cm^3$, Will it float? = sink
• Corn oil: Density = $0.80\ g/cm^3$, Will it float? = float
• Water: Density = $1.00\ g/cm^3$

(To fill the table:

• Gold: density cell $\boldsymbol{19.32}$, float? cell $\boldsymbol{sink}$
• Corn oil: density cell $\boldsymbol{0.80}$, float? cell $\boldsymbol{float}$
• Water: density cell $\boldsymbol{1.00}$)