The table below shows the dimensions of two colored cubes.
Dimensions of Cubes
Cube Side (cm) Mass (g)
Red 4 12
Green 3 10
Which cube is denser?
Red, because it has more volume and more amount of matter.
Green, because it has less volume and less amount of matter.
Red, because it has less volume and more amount of matter.
Green, because it has less volume and more amount of matter.
density = mass/volume
so compare
12/4^3 and 10/3^3
None of the choices is the real reason. But #2 is the closest.
It is green because 10/27 > 12/64
But red would have been denser for a side of of 3.9, and green would still have had less volume and less matter.
To determine which cube is denser, we need to compare their densities. The density of an object is determined by dividing its mass by its volume.
For the red cube:
Mass = 12 grams
Volume = (side)^3 = 4^3 = 64 cubic centimeters
For the green cube:
Mass = 10 grams
Volume = (side)^3 = 3^3 = 27 cubic centimeters
To find the density, we can divide the mass by the volume for each cube:
Density of red cube = 12 g / 64 cm^3 ≈ 0.1875 g/cm^3
Density of green cube = 10 g / 27 cm^3 ≈ 0.3704 g/cm^3
Comparing the densities, we can see that the green cube has a higher density than the red cube. Therefore, the correct answer is:
Green, because it has less volume and more amount of matter.
To determine which cube is denser, we need to compare their densities.
Density is defined as the amount of mass per unit volume. Mathematically, it is calculated as:
Density = Mass / Volume
Given the dimensions of the cubes, we need to calculate the volume of each cube using the formula:
Volume = Side^3
Let's calculate the volume for each cube:
Volume of Red Cube = Side^3 = 4^3 = 64 cm^3
Volume of Green Cube = Side^3 = 3^3 = 27 cm^3
Now that we have the volumes, let's calculate the densities using the given masses:
Density of Red Cube = Mass / Volume = 12 g / 64 cm^3
Density of Green Cube = Mass / Volume = 10 g / 27 cm^3
By comparing the densities, we can determine which cube is denser.