A cube with 2 cm sides that has a mass of 6.71 g is placed into the density column. Which statement describes what will happen next?

A.) The cube will float on top of corn syrup
B.) Floats in corn syrup
C.) Floats in water
D.) Floats in motor oil
E.) Floats in alcohol
F.) Float in gasoline
G.) will sink to the bottom below gasoline

Explanation:

The crux of the problem is if the density of the cube would be greater than either of the liquid , it would sink else it will float.

Given data-

Side of the cube- 2cm

Mass= 6.71gm

We know that volume of the cube= side³

Hence volume of cube= 8 cm ³

Density= mass/volume

Hence Density of the cube- 6.71/8= 0.84g/cm³ or 0.84 gm/mL

Now comparing the density of cube with other liquid-

A.) float on corn syrup- Since the density of corn syrup (1.40 gm/ mL) is much greater than cube (0.84 gm/ mL), hence it would float atop the syrup.

B.) Floats in corn syrup- The cube would float on the corn syrup.  

C.) Float in water- The cube would float in water since its density (0.84 gm/mL) is less than water (1 gm/mL)

D.) Float in motor oil- It would float in motor oil along the surface since the density is nearly same (0.90 gm/mL)

E.) Float in alcohol- It would sink in alcohol due to greater density(0.80 gm/ mL).

F.) Float in gasoline- It would sink in gasoline since its density is more than that of gasoline (0.67 gm/ mL).

G.) sink at bottom in gasoline- It would sink in gasoline since its density is more than that of gasoline (0.67 gm/ mL).

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