a plastic cube having 10cm floats on a fresh water.If the volume of the cube that is submerged in the water is 50% of its total volume, what is the density of the cube?

To get answers

Well, if the plastic cube is floating in water, it means that its density is less than the density of water. So, I guess you could say it's a "lightweight" in the water!

To find the density of the cube, we need to understand a few concepts:

1. Density: Density is the measure of the mass of an object per unit volume. It is typically denoted by the Greek letter rho (ρ).

2. Buoyancy: Buoyancy is the upward force exerted on an object immersed in a fluid (such as water), which opposes the force of gravity. When an object is less dense than the fluid it is immersed in, it floats.

Now, let's break down the steps to find the density of the cube:

Step 1: Determine the volume of the cube submerged in water.
Given that the submerged volume is 50% of its total volume, we can calculate it using the formula:

Submerged Volume = Total Volume × Submerged Percentage

Submerged Volume = (10 cm^3) × (50/100)
Submerged Volume = 5 cm^3

Step 2: Determine the mass of the cube.
Unfortunately, the mass of the cube is not provided in the question. So, without knowing the mass, we cannot directly calculate the density.

To find the mass, we need to use the buoyancy principle. Since the cube is floating, it means the buoyant force is equal to the weight of the cube. By applying the formula:

Buoyant Force = Weight of the Cube

we can solve for the weight of the cube.

Step 3: Calculate the density.
Density is defined as the mass of an object divided by its volume. Once we have the mass (from Step 2) and the submerged volume (from Step 1), we can use the formula:

Density = Mass / Submerged Volume

Given that the mass is in grams (g) and the submerged volume is in cubic centimeters (cm^3), the density will be in grams per cubic centimeter (g/cm^3).

So, to find the density of the cube, we first need the mass of the cube.