1. What is the density of a 75 g cube measuring 4 cm on each side? 2. A 28 g object is placed in a graduated cylinder with 10.5 mL of water. When added, the water rises to 14.5 mL. Find the density of the object.

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I have no Idea what to do on #2 pls help me out 

### Prime Time

1. **Question**: What is the density of a 75 g cube measuring 4 cm on each side?

2. **Question**: A 28 g object is placed in a graduated cylinder with 10.5 mL of water. When added, the water rises to 14.5 mL. Find the density of the object.

---

To solve these problems, use the formula for density: 

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

**Explanation of Concepts**:

- **Density**: The mass per unit volume of a substance, typically expressed in grams per cubic centimeters (g/cm³) or grams per milliliters (g/mL).
  
- **Volume Calculation for a Cube**: 
  - Volume for a cube = side × side × side
  - For a cube with sides of 4 cm, the volume is \(4 \, \text{cm} \times 4 \, \text{cm} \times 4 \, \text{cm} = 64 \, \text{cm}³ \).

- **Volume Displacement Method**: 
  - Initial water volume = 10.5 mL
  - Final water volume = 14.5 mL
  - Volume of object = Final volume - Initial volume = \(14.5 \, \text{mL} - 10.5 \, \text{mL} = 4.0 \, \text{mL} \).

Using these methods, you can calculate the density for each scenario.
Transcribed Image Text:### Prime Time 1. **Question**: What is the density of a 75 g cube measuring 4 cm on each side? 2. **Question**: A 28 g object is placed in a graduated cylinder with 10.5 mL of water. When added, the water rises to 14.5 mL. Find the density of the object. --- To solve these problems, use the formula for density: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] **Explanation of Concepts**: - **Density**: The mass per unit volume of a substance, typically expressed in grams per cubic centimeters (g/cm³) or grams per milliliters (g/mL). - **Volume Calculation for a Cube**: - Volume for a cube = side × side × side - For a cube with sides of 4 cm, the volume is \(4 \, \text{cm} \times 4 \, \text{cm} \times 4 \, \text{cm} = 64 \, \text{cm}³ \). - **Volume Displacement Method**: - Initial water volume = 10.5 mL - Final water volume = 14.5 mL - Volume of object = Final volume - Initial volume = \(14.5 \, \text{mL} - 10.5 \, \text{mL} = 4.0 \, \text{mL} \). Using these methods, you can calculate the density for each scenario.
## Prime Time: Density Calculation Problems

1. **Problem 1:**
   - Calculate the density of a 75 g cube with each side measuring 4 cm.

2. **Problem 2:**
   - A 28 g object is placed in a graduated cylinder initially containing 10.5 mL of water. After the object is added, the water level rises to 14.5 mL. Determine the density of the object.

*Note: Density is calculated as mass divided by volume.*

© It's Not Rocket Science
Transcribed Image Text:## Prime Time: Density Calculation Problems 1. **Problem 1:** - Calculate the density of a 75 g cube with each side measuring 4 cm. 2. **Problem 2:** - A 28 g object is placed in a graduated cylinder initially containing 10.5 mL of water. After the object is added, the water level rises to 14.5 mL. Determine the density of the object. *Note: Density is calculated as mass divided by volume.* © It's Not Rocket Science
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