Math Problem Statement
Ashley is doing a lab in class to calculate the density of an object. She measures the mass, m, and calculates the volume, v, of the item. Her teacher gave her the following equation.
m = dv
How can the equation be rewritten to solve for density, d?
Solution
The equation given is:
where:
- is the mass,
- is the density,
- is the volume.
To solve for density , you need to isolate on one side of the equation. Here's how you can do it:
Step-by-Step Process:
- Isolate :
- Divide both sides of the equation by :
Final Equation:
So, the equation for density is:
Would you like further details or any other explanations?
Here are 5 related questions:
- What are the units for density when mass is in grams and volume is in cubic centimeters?
- How does changing the volume affect the density of an object if the mass remains constant?
- What happens to the density of an object if both mass and volume are doubled?
- Can density be negative? Why or why not?
- How is density related to buoyancy?
Tip: Always remember that density is a measure of how much mass is contained within a specific volume.
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Math Problem Analysis
Mathematical Concepts
Algebra
Equations
Density Calculations
Formulas
Density formula: d = m / v
Theorems
-
Suitable Grade Level
Middle School