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.