I don't get this at all please help Density problems
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What is (x+4) (x+2)
Density problems involve calculating the mass, volume, or density of a substance. To solve these problems, you need to understand the relationship between mass, volume, and density.
Density is defined as the mass of an object divided by its volume. The formula for density is:
Density = Mass / Volume
To solve a density problem, you need to know two out of the three variables: mass, volume, or density. Once you have this information, you can rearrange the formula to find the missing variable.
Here are a few examples to help illustrate how to solve density problems:
Example 1: Finding Density
Question: A sample of gold has a mass of 150 grams and a volume of 10 cm^3. What is the density of the gold?
Solution: Use the formula for density: Density = Mass / Volume. Plug in the given values: Density = 150 g / 10 cm^3. Divide 150 grams by 10 cubic centimeters to find the density. The density of the gold is 15 g/cm^3.
Example 2: Finding Mass
Question: A cube of wood has a density of 0.8 g/cm^3 and a volume of 100 cm^3. What is the mass of the cube?
Solution: Use the formula for density: Density = Mass / Volume. Rearrange the formula to solve for mass: Mass = Density * Volume. Plug in the given values: Mass = 0.8 g/cm^3 * 100 cm^3. Multiply the density by the volume to find the mass. The mass of the cube is 80 grams.
Example 3: Finding Volume
Question: A substance has a mass of 250 grams and a density of 5 g/cm^3. What is the volume of the substance?
Solution: Use the formula for density: Density = Mass / Volume. Rearrange the formula to solve for volume: Volume = Mass / Density. Plug in the given values: Volume = 250 grams / 5 g/cm^3. Divide the mass by the density to find the volume. The volume of the substance is 50 cm^3.
Remember, in density problems, knowing the relationship between mass, volume, and density is crucial. Once you understand the formula, you can manipulate it to solve for the missing variable.