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:

m=dvm = dv

where:

  • mm is the mass,
  • dd is the density,
  • vv is the volume.

To solve for density dd, you need to isolate dd on one side of the equation. Here's how you can do it:

Step-by-Step Process:

  1. Isolate dd:
    • Divide both sides of the equation by vv: d=mvd = \frac{m}{v}

Final Equation:

d=mvd = \frac{m}{v}

So, the equation for density dd is: d=mvd = \frac{m}{v}

Would you like further details or any other explanations?

Here are 5 related questions:

  1. What are the units for density when mass is in grams and volume is in cubic centimeters?
  2. How does changing the volume affect the density of an object if the mass remains constant?
  3. What happens to the density of an object if both mass and volume are doubled?
  4. Can density be negative? Why or why not?
  5. 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