A material has a dry mass of 27 g and a volume of 5 cm³. Determine the density of the material.
Understand the Problem
The question is asking to calculate the density of a material using its mass and volume. Density is defined as mass divided by volume, so we will use the formula density = mass/volume to find the answer.
Answer
The density is calculated using $ \text{Density} = \frac{m}{v} $.
Answer for screen readers
The density is given by the formula $ \text{Density} = \frac{m}{v} $ where $m$ is the mass and $v$ is the volume.
Steps to Solve
- Identify the formula for density
We know the formula for density is given by:
$$ \text{Density} = \frac{\text{mass}}{\text{volume}} $$
- Plug in the values for mass and volume
Assuming we have the mass and volume of the material, let's denote the mass as $m$ (in grams) and the volume as $v$ (in cubic centimeters). We can now substitute these values into the formula.
- Calculate the density
Perform the division of mass by volume to find the density:
$$ \text{Density} = \frac{m}{v} $$
- Present the final result
After calculating, present the answer clearly with units (grams per cubic centimeter, g/cm³).
The density is given by the formula $ \text{Density} = \frac{m}{v} $ where $m$ is the mass and $v$ is the volume.
More Information
The density of a material gives insight into its composition and state. Different materials have characteristic densities that can help identify them; for example, the density of water is approximately $1 , \text{g/cm}^3$.
Tips
- Confusing units: Make sure mass is in grams and volume is in cubic centimeters to keep consistency.
- Not using the correct formula: Remember that density is always mass divided by volume.
