Certainly! Let's use the example from the image and fill in the **Diameter (relative to Earth)** and **Diameter (inches)** columns for Mercury. ### Step 1: **Calculate the Diameter Relative to Earth** - **Mercury's diameter:** 3031 miles - **Earth's diameter:** 7926 miles **Relative diameter** formula: \[ \text{Relative Diameter} = \frac{\text{Planet's Diameter}}{\text{Earth's Diameter}} \] \[ \text{Relative Diameter (Mercury)} = \frac{3031}{7926} \approx .38 \] **Explanation:** We divided Mercury’s diameter by Earth’s diameter to get its size relative to Earth. --- ### Step 2: **Calculate the Diameter in Inches (if Earth = 1 inch)** If Earth = 1 inch, then Mercury's diameter (in inches): \[ \text{Mercury's diameter (inches)} = \text{Relative Diameter} \times 1 = .38 \times 1 = .38\ \text{inches} \] **Explanation:** We multiply the relative diameter by 1 inch (Earth’s scale) to get Mercury’s model diameter in inches. --- ## **Final Answer** - **Mercury's Diameter Relative to Earth:** **.38** - **Mercury's Diameter (inches):** **.38** inches Let me know if you want the next planet or more columns filled in!

# Calculation of Mercury's Diameter This document provides a structured approach to calculate Mercury's diameter in relation to Earth and convert it to inches. ## Step 1: Calculate the Diameter Relative to Earth - **Mercury's Diameter:** 3031 miles - **Earth's Diameter:** 7926 miles **Relative diameter formula:** \[ \text{Relative Diameter} = \frac{\text{Planet's Diameter}}{\text{Earth's Diameter}} \] \[ \text{Relative Diameter (Mercury)} = \frac{3031}{7926} \approx 0.383 \] **Explanation:** To determine Mercury's size relative to Earth, we divide Mercury's diameter by Earth's diameter, resulting in approximately **0.383**. --- ## Step 2: Calculate the Diameter in Inches (if Earth = 1 inch) If Earth is represented as 1 inch, then Mercury's diameter in inches can be calculated as follows: \[ \text{Mercury's diameter (inches)} = \text{Relative Diameter} \times 1 = 0.383 \times 1 = 0.383\ \text{inches} \] **Explanation:** By multiplying the relative diameter by 1 inch (representing Earth), we find that Mercury's diameter in this model is approximately **0.383** inches. --- ## Final Answer - **Mercury's Diameter Relative to Earth:** **0.383** - **Mercury's Diameter (inches):** **0.383 inches**