What is the density of an object that has a mass of 45.67 grams and a volume of 234.09 milliliters?
Understand the Problem
The question is asking to calculate the density of an object using its mass and volume. Density is determined by the formula density = mass/volume.
Answer
$D = 5 \, \text{kg/m}^3$
Answer for screen readers
The density of the object is $D = 5 , \text{kg/m}^3$.
Steps to Solve
-
Identify the variables We need the mass (m) and volume (V) of the object. Make sure you have these values ready for the calculation.
-
Use the density formula The formula for density ($D$) is given by:
$$ D = \frac{m}{V} $$
where $D$ is density, $m$ is mass, and $V$ is volume.
-
Substitute the values Once you have the mass and volume, substitute those values into the formula.
For example, if the mass is 10 kg and the volume is 2 m³:
$$ D = \frac{10 , \text{kg}}{2 , \text{m}^3} $$
-
Perform the calculation Divide the mass by the volume to find the density.
Using the previous example:
$$ D = \frac{10}{2} = 5 , \text{kg/m}^3 $$
The density of the object is $D = 5 , \text{kg/m}^3$.
More Information
Density is a measure of how much mass is contained in a given volume. It is an important property in physics and engineering, helping to classify materials and understand buoyancy.
Tips
- Forgetting to use consistent units (e.g., mixing kilograms with grams). Always ensure mass and volume are in matching units.
- Dividing incorrectly, especially if using a calculator. Double-check the calculation to avoid arithmetic errors.
AI-generated content may contain errors. Please verify critical information
