Question

You just measured a sugar cube and obtained the following information: mass = 3.48 g height = length = width = 1.3 cm Determine the volume and density of the cube. Suppose the sugar cube was added to a cup of water. Before it dissolves, will the sugar cube float or sink to the bottom?

Answer 1

Answer:     Volume of sugar cube=2.20 cm³

Density of sugar cube = 1.60 g/cm³.

The sugar cube will sink.

Step-by-step explanation:

Given : Mass of cube = 3.48 g

Also, dimension of sugar cube :

height = length = width = 1.3 cm

Since , the volume of cube = (side)³

Volume of sugar cube=(1.3) ³= 2.197 ≈ 2.20 cm³

Also, Density = $\dfrac{\text{Mass}}{\text{Volume}}$

⇒ Density of sugar cube = $\dfrac{3.48}{2.2}=1.5818\approx1.60\ g/cm^3$

∴ Density of sugar cube = 1.60 g/cm³.

It is known that the density of water is 1 g/cm³.

Here , density of sugar cube >  density of water

⇒ The sugar cube will sink .