The density of aluminum is 2.70 g/ml. What is the mass of a cube of Al that measures 2.20 cm on each side?(remember significant figures and to include the units of g in your answer, remember that 1 ml=1 cm3)
volume = length x width x height = ?cc = ? mL.
Then mass = volume x density with density given.
To find the mass of a cube of aluminum, we can use the formula:
Mass = Density * Volume
First, let's find the volume of the cube. The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the side length is 2.20 cm, so the volume is:
Volume = (side length)^3
Volume = (2.20 cm)^3
Volume = 10.648 cm^3
Since 1 ml is equal to 1 cm^3, we can convert the volume to ml:
Volume = 10.648 cm^3 * 1 ml/1 cm^3
Volume = 10.648 ml
Now, we can calculate the mass using the given density of aluminum:
Mass = Density * Volume
Mass = 2.70 g/ml * 10.648 ml
Mass = 28.7836 g
Rounding to the correct number of significant figures, the mass of the aluminum cube is 28.8 g.
To find the mass of the aluminum cube, we need to use the formula:
mass = density x volume
First, we need to calculate the volume of the cube. Since the cube has sides measuring 2.20 cm each, we can find the volume using the formula:
volume = length x width x height
In this case, all sides have the same length of 2.20 cm, so the formula simplifies to:
volume = (2.20 cm)^3
Now, let's calculate the volume:
volume = (2.20 cm)^3
volume = 10.648 cm^3 (rounding to 3 significant figures)
Since 1 cm^3 is equal to 1 mL, we can convert the volume from cm^3 to mL:
volume = 10.648 cm^3 = 10.648 mL
Now that we have obtained the volume in milliliters, we can calculate the mass using the given density of aluminum:
density = 2.70 g/mL
mass = density x volume
mass = 2.70 g/mL x 10.648 mL
Calculating the mass:
mass = 2.70 g/mL x 10.648 mL
mass ≈ 28.7596 g (rounding to 4 significant figures)
Therefore, the mass of the aluminum cube is approximately 28.8 g (rounded to 3 significant figures) with units.