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A cube of mass 128 g has a density of 2 g/cm? what is the length of each side of the cube?

User ChuckB
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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.

User Emad Salah
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