The mass of an iron cube having an edge length 1.8 cm is 70 g. Find itd density.
Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. Its mass is 20 grams, and its density is 7.87 g/cm3. What’s the larger cube’s volume?
To find the density of an object, you need to divide its mass by its volume. In this case, you are given the mass (70 g) and the edge length (1.8 cm) of an iron cube.
Step 1: Find the volume of the iron cube.
The volume of a cube is calculated by cubing the length of its edge. So, the volume (V) of the given iron cube is:
V = (1.8 cm)³
V = 1.8 cm * 1.8 cm * 1.8 cm
V = 5.832 cm³
Step 2: Calculate the density.
The density (D) of an object is equal to its mass divided by its volume. So, the density of the iron cube is:
D = mass / volume
Substituting the given values:
D = 70 g / 5.832 cm³
Step 3: Solve for density.
Now, you can divide the mass by the volume to find the density:
D ≈ 12.01 g/cm³
Therefore, the density of the iron cube is approximately 12.01 g/cm³.
density=mass/volume=70/(1.8)^3 g/cm^3
6.07 x 1023
12 gram
cube