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 .

Answer 2

Since the density of water is 1 g/cm³, the sugar cube with a density of 1.6 g/cm³ will sink to the bottom.

What is Density?

Density = mass ÷ volume

What is the Volume of a Cube?

Volume = s³, where s is the equal length, width, and height.

Given the following:

• Mass = 3.48 g
• Height = length = width = 1.3 cm

Volume of the cube = 1.3³ = 2.197 cm³

Density of the cube = mass/volume = 3.48/2.197 = 1.6 g/cm³.

Thus, since the density of water is 1 g/cm³, the sugar cube with a density of 1.6 g/cm³ will sink to the bottom.

Learn more abouot density on:

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