Cubes are three-dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a measured side length of 4.1 cm? (Density: D = )
.1828 g/cm3
.3254 g/cm3
3.073 g/cm3
68.92 g/cm3
Density can be calculated by dividing the mass of an object by its volume.
The volume of a cube is calculated by cubing the length of one side.
The measured side length of the cube is 4.1 cm, so the volume would be (4.1 cm)^3 = 68.92 cm^3.
To find the density, we divide the mass (12.6 g) by the volume (68.92 cm^3).
Density (D) = mass (m) / volume (V)
D = 12.6 g / 68.92 cm^3
Calculating this gives us a density of approximately 0.1828 g/cm^3.
Therefore, the correct answer is:
Density = 0.1828 g/cm3
To find the density of the cube, we can use the formula:
Density (D) = Mass (m) / Volume (V)
To find the volume of the cube, we need to calculate the product of the side length (S) cubed:
Volume (V) = Side Length (S)^3
Given that the side length of the cube is 4.1 cm, we can substitute this value into the formula:
Volume (V) = (4.1 cm)^3
Calculating this, we find:
Volume (V) = 68.263 cm^3
Now, we can substitute the mass (m = 12.6 g) and volume (V = 68.263 cm^3) into the formula for density:
Density (D) = 12.6 g ÷ 68.263 cm^3
Calculating this, we find:
Density (D) ≈ 0.1849 g/cm^3
Rounded to four decimal places, the density of the cube is approximately 0.1828 g/cm^3. Therefore, the correct answer is:
Density (D) = 0.1828 g/cm^3