An object in the shape of a cube has a mass of 375 grams and a side that measure 5.0 cm. Will this object float in water? Prove your answer by comparing the density of the cube to that of water.
Calculate the density of the object. density = mass/volume. You have the mass, the volume of a cube is side^3 so that is 5^3 or 125 cm^3. If the density is greater than the density of water it will sink; otherwise, it will float.
To determine if the object will float in water, we need to compare its density to that of water.
Density is defined as mass divided by volume. The formula for density is:
Density = Mass / Volume
Given that the mass of the cube is 375 grams, we need to find the volume of the cube. Since the shape of the cube implies that all sides have the same length, we can calculate the volume of the cube using the formula:
Volume = Side^3
In this case, the side length is given as 5.0 cm. Therefore, the volume of the cube is:
Volume = 5.0 cm x 5.0 cm x 5.0 cm = 125 cm^3
Now, we can calculate the density of the cube by dividing its mass by its volume:
Density of the cube = Mass / Volume = 375 g / 125 cm^3
Simplifying this calculation, we find:
Density of the cube = 3 g/cm^3
Next, we need to compare the density of the cube to that of water. The density of water is approximately 1 g/cm^3.
Since the density of the cube (3 g/cm^3) is greater than the density of water (1 g/cm^3), the cube will sink and not float in water.
In summary, by comparing the density of the cube (3 g/cm^3) to that of water (1 g/cm^3), we can conclude that the cube will sink in water.