a 700g solid cube having an edge of length 10cm floats in water how much volume of the cube is outside the water?
Here,
mass = 700g = 0.7 kg
volume = mass/density = 0.7/1000 (as density of water = 1000 kg/cb m) = 7x10^-4 meter cube = 700 cm cube
Volume of cube = (10)^3 = 1000 cm^3
Volume of cube ouside water = 1000-700 = 300 cm^3
A cube of wood supporting 200g mass just floats in water.when the mass is removed the cube rises by1cm linear dimension of cube is
To determine the volume of the cube that is outside the water, we need to first find the volume of the whole cube.
Given that the edge length of the cube is 10 cm, the volume of the cube can be calculated using the formula:
Volume = (Edge Length)^3
Volume = (10 cm)^3
Volume = 1000 cm^3
Since the cube is floating in water, this means that its weight is equal to the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the cube.
Given that the weight of the cube is 700 g, we can convert it to kilograms by dividing it by 1000:
Weight = 700 g / 1000 = 0.7 kg
Now, we can use the density of water to calculate the volume of water displaced by the cube.
Density of water = 1000 kg/m^3
Buoyant force = Weight of the cube = 0.7 kg
Buoyant force = Density of water * Volume of water displaced
Therefore, Volume of water displaced = Buoyant force / Density of water
Volume of water displaced = 0.7 kg / 1000 kg/m^3 = 0.0007 m^3
Since the cube is completely submerged in water, the volume of water displaced is equal to the volume of the cube itself.
Now, to find the volume of the cube outside the water, subtract the volume of water displaced from the total volume of the cube:
Volume outside water = Total volume of the cube - Volume of water displaced
Volume outside water = 1000 cm^3 - 0.0007 m^3
However, before we subtract the volumes, we need to convert the units to the same system. Let's convert the volume of the cube to cubic meters:
1 m = 100 cm
Volume of the cube = 1000 cm^3 / (100 cm)^3 = 0.001 m^3
Now, we can subtract the volumes:
Volume outside water = 0.001 m^3 - 0.0007 m^3
Volume outside water = 0.0003 m^3
Therefore, the volume of the cube outside the water is 0.0003 cubic meters.
To find the volume of the cube that's outside the water, we need to determine the volume of the entire cube and then subtract the volume of the submerged portion.
Let's start by finding the volume of the entire cube. The volume of a cube can be calculated using the formula V = s^3, where V is the volume and s is the length of one side.
Given that the edge length of the cube is 10cm, we can substitute that into the formula:
V = 10^3 = 1000 cm^3
Since we know the density of water is 1 g/cm^3, we can convert the mass of the cube into volume using the equation:
Volume = mass / density
Given that the mass of the cube is 700g and the density of water is 1 g/cm^3, we can calculate the volume of the submerged portion:
Volume submerged = 700g / 1 g/cm^3 = 700 cm^3
Now, to find the volume outside the water, we subtract the volume of the submerged portion from the total volume:
Volume outside = Total volume - Volume submerged
Volume outside = 1000 cm^3 - 700 cm^3
Volume outside = 300 cm^3
Therefore, the volume of the cube that is outside the water is 300 cm^3.