A 2.4-kg pile of aluminum(ρ = 2.70 g/cm3)cans is melted, then cooled into a solid cube. What is the volume of the cube?
s^3=mass/density=2400g/(2.70cm^3)
side of cube= curt(926)=cubrt889cm
=9.62cm
v = mass/density
= 2.4 kg / 2.70 g/cm^3
2.4 is only 2 sig fig
To find the volume of the cube, we need to first find the mass and then use the formula for the density of aluminum to find the volume.
Given:
- Mass of aluminum pile = 2.4 kg
- Density of aluminum = 2.70 g/cm^3
Step 1: Convert the mass to grams
1 kg = 1000 g
Therefore, the mass of the aluminum pile in grams is:
2.4 kg * 1000 g/kg = 2400 g
Step 2: Use the formula for density to find the volume
Density = Mass / Volume
Rearranging the formula, Volume = Mass / Density
Using the given density of aluminum:
Volume = 2400 g / 2.70 g/cm^3
Step 3: Calculate the volume
Volume = 888.89 cm^3 (rounded to the nearest hundredth)
Therefore, the volume of the solid cube is approximately 888.89 cm^3.
To find the volume of the cube, we first need to determine the mass of the aluminum pile in grams.
Given:
Mass of aluminum pile = 2.4 kg
Density of aluminum = 2.70 g/cm^3
We can use the formula:
M = ρ * V
where M is the mass, ρ is the density, and V is the volume.
Rearranging the formula, we have:
V = M / ρ
Converting the mass to grams:
Mass of aluminum pile = 2.4 kg * 1000 g/kg = 2400 g
Now, substituting the values into the formula, we have:
V = 2400 g / 2.70 g/cm^3
Calculating the volume gives us:
V = 888.89 cm^3
Therefore, the volume of the cube is 888.89 cm^3.