A child's cubic play block has a mass of 140 g and a side length of 6.00 cm.When placed in the bathtub full of water, will the cube sink or float?

Question

asked Jun 5, 2023 137k views

1 Answer

Raghubar · Answer 1 · 2023-06-08T13:55:26+0000

In order to find if the cube will float or sink, first let's calculate the volume of the cube.

The volume of a cube is given by the side length to the power of 3:

$\begin{gathered} V=s^3 \\ V=6^3 \\ V=216\text{ cm^^b3} \end{gathered}$

Now, let's calculate the density of the cube:

$d=(m)/(V)=(140)/(216)=0.648\text{ g/cm^^b3}$

The density of water is 1 g/cm³. Since the density of the cube is lesser than the density of the water, therefore the cube will float.