a cube has sides that are 3.0cm long. The mass of the cube is 54g. Calculate the density of the cube.
v= 3^3 = 27 cm^3
rho = m/v = 54/27 = 2 grams/cubic centimeter
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To calculate the density of the cube, we need to use the formula:
Density = Mass / Volume
First, let's calculate the volume of the cube. Since all sides are 3.0 cm long, the volume can be found by cubing the side length:
Volume = (Side length)^3
= (3.0 cm)^3
= 27.0 cm^3
Now, let's substitute the values into the density formula:
Density = Mass / Volume
= 54 g / 27.0 cm^3
Calculating this division:
Density = 2.0 g/cm^3
Therefore, the density of the cube is 2.0 g/cm^3.
To calculate the density of an object, you need to know both its mass and its volume. The formula for density is:
Density = Mass / Volume
In this case, we are given the length of the sides of the cube, which allows us to calculate its volume. Since all sides are equal in length, we can use the formula:
Volume = Side^3
Step 1: Calculate the volume of the cube.
In this case, the length of the side of the cube is 3.0 cm. So, the volume will be:
Volume = 3.0 cm * 3.0 cm * 3.0 cm = 27.0 cm^3
Step 2: Calculate the density of the cube.
We are given the mass of the cube as 54g. So, the density will be:
Density = Mass / Volume = 54g / 27.0 cm^3
Step 3: Simplify the units, if necessary.
In this case, the density will be in grams per cubic centimeter (g/cm^3), which is a commonly used unit for solid objects.
So, the final answer would be the calculated value of density in grams per cubic centimeter (g/cm^3).