The denser an object, the more compact it is. The table below shows the mass and volume of two different objects.

Comparison of Liquids
Liquid Mass (g) Volume
(cm3)
X 72 12
Y 63 9

Which of the two objects is more compact?
a Object X is more compact.
b Object Y is more compact.
c Both objects are equally compact.
d This cannot be determined.

1 answer

To determine which object is more compact, we need to calculate their densities. Density is calculated by dividing the mass of an object by its volume.

For object X:
Density of X = Mass of X / Volume of X = 72 g / 12 cm3 = 6 g/cm3

For object Y:
Density of Y = Mass of Y / Volume of Y = 63 g / 9 cm3 = 7 g/cm3

Since the density of object Y (7 g/cm3) is greater than the density of object X (6 g/cm3), this indicates that object Y is more compact.

Therefore, the answer is:
b Object Y is more compact.