The mass of a solid cube is 1200 g, and each edge has a length of 4.15 cm.
Find the density of the cube.
Answer in units of kg/m^3
V=(4.15*10^-2m)^3 = 7.15*10^-5m^3
Density=1.2kg/7.15*10^-5m^3=16,783kg/m^3
Thank you Henry
To find the density of the cube, we need to use the formula:
Density = Mass / Volume
First, let's find the volume of the cube. The volume of a cube is given by the formula:
Volume = Length^3
Given that each edge has a length of 4.15 cm, we can calculate the volume:
Volume = (4.15 cm)^3
To ensure consistent units, let's convert the length to meters first:
1 cm = 0.01 m
Length = 4.15 cm * 0.01 m/cm
Now we can calculate the volume:
Volume = (4.15 cm * 0.01 m/cm)^3
Next, we can calculate the mass of the cube. The mass is given as 1200 g, which we'll convert to kilograms:
1 kg = 1000 g
Mass = 1200 g * 1 kg/1000 g
Now we have all the necessary values to find the density:
Density = Mass / Volume
Plug in the values:
Density = (1200 g * 1 kg/1000 g) / [(4.15 cm * 0.01 m/cm)^3]
Simplifying the equation:
Density = (1.2 kg) / [(0.0415 m)^3]
Finally, calculating the density:
Density = 1.2 kg / (0.0415 m)^3
Thus, the density of the cube is 6,985.20 kg/m^3.