Final answer:
A cube made of an unknown material has a height of 9 cm. the mass of this cube is 3,645 gramsThe density of the cube can be calculated by dividing its mass by its volume. The density of this cube is approximately 5 g/cm³.
Step-by-step explanation:
The density of a substance can be calculated by dividing its mass by its volume.
To calculate the density of the cube, divide the mass of the cube (3,645 grams) by the volume of the cube.
Since the cube has a height of 9 cm, and all sides of a cube are equal, the volume of the cube is equal to the side length cubed.
Volume of the cube = (Side length)³
Given that the height of the cube is 9 cm, the side length of the cube is also 9 cm.
So, the volume of the cube = (9 cm)³ = 729 cm³
Now, divide the mass of the cube by the volume to find the density:
Density = Mass / Volume
= 3,645 grams / 729 cm³
= 5 g/cm³.
Using a calculator, the density of the cube is approximately 5 g/cm³.