A cube with a mass of 40 g is made from a metal with a density of 6 g/cm3. What is the volume of the cube and the length of each edge?

----volume cm^3


-----length cm^3

volume(cm^3) = mass(g)/density(g/cm^3)

so plug in your numbers. I assume you can find the side of a cube, given its volume. (By the way, the length is cm, not cm^3!)

To find the volume of the cube, we can use the formula: volume = mass / density.

First, we need to convert the mass of the cube from grams to grams per cubic centimeter.

Mass = 40 g

Density = 6 g/cm3

Now, let's substitute these values into the formula:

Volume = Mass / Density

Volume = 40g / 6 g/cm3

Volume = 6.67 cm3

Therefore, the volume of the cube is 6.67 cm3.

To find the length of each edge of the cube, we can use the formula: edge length = cubic root of volume.

Let's calculate it:

Edge Length = ∛Volume

Edge Length = ∛6.67 cm3

Edge Length ≈ 1.91 cm

Therefore, the length of each edge of the cube is approximately 1.91 cm.