If a cube with edges of 1.000 cm weighs 25.68 g, what would the mass of a cube
of the same material with sides 2.72 cm in length be?
Does the volume increase to (2.72)^3 cm^3?
Multipy the original mass by that factor.
This is really dense stuff.
To solve this problem, we can use the concept of density. The density of a material is defined as its mass per unit volume. So, if we know the density of the material, we can calculate the mass of a cube of any size.
First, let's calculate the density of the material using the given cube. The volume of a cube is calculated by cubing the length of its side. In this case, the volume is (1.000 cm)^3 = 1.000 cm³.
The density (D) of the material is calculated by dividing the mass (m) by the volume (V). So, D = m / V.
Substituting the given values, we have D = 25.68 g / 1.000 cm³ = 25.68 g/cm³.
Now, to find the mass of the cube with sides of 2.72 cm, we need to calculate its volume and then multiply it by the density.
The volume of the larger cube is (2.72 cm)^3 = 20.9288 cm³.
Finally, the mass (m) of the larger cube can be calculated using the formula: m = D * V.
Substituting the values, we get m = 25.68 g/cm³ * 20.9288 cm³ = 537.53 g.
Therefore, the mass of a cube of the same material with sides 2.72 cm in length would be approximately 537.53 grams.