The density of an object is equal to the mass of the object divided by the volume of the object. What is the volume, in squares feet, of an object with a mass of 2,000 pounds and a density of 500 pounds per square foot?

Options

A. `1,000, 000`
B. `1,500`
C. `4`
D. `0.25`

Answer

To find the volume of the object given its mass and density, we can use the formula for density:

\[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \]

From this formula, we can rearrange it to solve for volume:

\[ V = \frac{m}{\rho} \]

### Step 1: Identify the given values
- Mass (\(m\)) = 2000 pounds
- Density (\(\rho\)) = 500 pounds per square foot

### Step 2: Substitute the values into the volume formula
\[ V = \frac{2000 \text{ pounds}}{500 \text{ pounds per square foot}} \]

### Step 3: Perform the division
\[ V = \frac{2000}{500} \text{ square feet} \]

### Step 4: Simplify the fraction
\[ V = 4 \text{ square feet} \]

### Conclusion
The volume of the object is **4 square feet**.

---