what volume of water at 4 degrees Celsius can be held in a cube whose edge is 3.0cm long?
edge = 3.0 cm.
volume = (edge^3) = 3.0^3 cc.
To determine the volume of water that can be held in a cube, we need to calculate its volume. The formula for calculating the volume of a cube is:
Volume = edge length^3
In this case, the edge length is given as 3.0 cm. Therefore, the volume of the cube can be calculated as:
Volume = (3.0 cm)^3
To simplify the calculation, let's convert the edge length to meters, as the SI unit for volume is cubic meters. Since there are 100 centimeters in a meter, we can convert 3.0 cm to meters by dividing it by 100:
Edge length in meters = 3.0 cm / 100 = 0.03 m
Now we can calculate the volume of the cube:
Volume = (0.03 m)^3
Volume = 0.03 m x 0.03 m x 0.03 m
Volume = 0.000027 cubic meters
Since water has a density of approximately 1000 kg/m^3 and the volume calculated is in cubic meters, we can determine the mass of water that can be held in the cube by multiplying the volume by the density:
Mass of water = Volume x Density
Mass of water = 0.000027 m^3 x 1000 kg/m^3
Mass of water = 0.027 kg
Finally, to find the volume of water in liters, we convert the mass of water to grams and then divide by the density of water (1 g/mL or 1000 kg/m^3):
Volume of water = Mass of water / Density of water
Volume of water = 0.027 kg / 1000 kg/m^3 = 0.027 L
Therefore, the volume of water that can be held in the given cube with an edge length of 3.0 cm at 4 degrees Celsius is 0.027 liters.