Final answer:
To find the side length of a cube, divide the mass by the density to get the volume, then take the cube root of the volume. With a mass of 128 g and a density of 2 g/cm³, the cube has a side length of 4 cm.
Step-by-step explanation:
To find the length of each side of a cube with a given mass and density, we can use the formula for density, which is density (D) = mass (m) / volume (V). In this case, the mass of the cube is 128 grams and the density is 2 g/cm³.
First, we convert the mass from grams to cubic centimeters using the density:
- Mass (m) = 128 g
- Density (D) = 2 g/cm³
Using the formula V = m / D, we find:
- Volume (V) = 128 g / 2 g/cm³ = 64 cm³
Since the volume of a cube is the cube of the side length (s³), we can find the side length by taking the cube root of the volume:
- Side length (s) = ∛(64 cm³) = 4 cm
Therefore, the length of each side of the cube is 4 centimeters.