Question

A cube has a mass of 30 g. Its side (length) measures 9 cm is placed in a 4,300 mL liquid,

which has a mass of 1000 g. Which substance has a higher density? When the cube is placed
in the liquid, will it sink or float?
a) The cube will sink; the liquid has higher density.
b) The cube will float; the liquid has lower density.
c) The cube will float; the liquid has higher density.
d) The cube will sink; the liquid has lower density.

Answer 1

The density of the cube is lower than the density of the liquid. The cube will float in the liquid.

Step-by-step explanation:

The density of a substance can be calculated by dividing its mass by its volume. In this case, the cube has a mass of 30 g and a side length of 9 cm. The volume of the cube can be calculated by cubing the side length, so the volume is (9 cm)^3 = 729 cm^3. To find the density, we divide the mass by the volume: density = 30 g ÷ 729 cm^3 = 0.041 g/cm^3.

The liquid has a mass of 1000 g and a volume of 4300 mL. To find the density, we divide the mass by the volume: density = 1000 g ÷ 4300 mL = 0.233 g/mL.

Comparing the densities, we can see that the cube has a lower density (0.041 g/cm^3) compared to the liquid (0.233 g/mL). Therefore, the cube will float in the liquid.