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The density of an object is equal to the...

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 milliliters, of an object with a mass of 24 grams and a density of 3 grams per milliliter?

A

0.125

B

8

C

21

D

72

Text Solution

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The correct Answer is:
To find the volume of an object given its mass and density, we can use the formula for density: \[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \] We need to rearrange this formula to solve for volume \( V \): \[ V = \frac{m}{\rho} \] ### Step-by-step Solution: 1. **Identify the given values**: - Mass \( m = 24 \) grams - Density \( \rho = 3 \) grams per milliliter 2. **Substitute the values into the volume formula**: \[ V = \frac{m}{\rho} = \frac{24 \text{ grams}}{3 \text{ grams/milliliter}} \] 3. **Perform the division**: - First, cancel out the units (grams): \[ V = \frac{24}{3} \text{ milliliters} \] 4. **Calculate the result**: \[ V = 8 \text{ milliliters} \] Thus, the volume of the object is **8 milliliters**.

To find the volume of an object given its mass and density, we can use the formula for density: \[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \] We need to rearrange this formula to solve for volume \( V \): ...
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Knowledge Check

  • 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?

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