To convert \(0.00405 \, \text{cm}^2\) to \(\text{mm}^2\) and \(\text{m}^2\), we'll go through each step.

### **1. Convert cm² to mm²:**
Since \(1 \, \text{cm} = 10 \, \text{mm}\), the area conversion is:
\[
1 \, \text{cm}^2 = (10 \, \text{mm})^2 = 100 \, \text{mm}^2
\]

Given:
\[
0.00405 \, \text{cm}^2 \times 100 = 0.405 \, \text{mm}^2
\]

### **2. Convert cm² to m²:**
Since \(1 \, \text{cm} = 0.01 \, \text{m}\), the area conversion is:
\[
1 \, \text{cm}^2 = (0.01 \, \text{m})^2 = 0.0001 \, \text{m}^2
\]

Given:
\[
0.00405 \, \text{cm}^2 \times 0.0001 = 4.05 \times 10^{-7} \, \text{m}^2
\]

### **Summary of conversions:**
- **To mm²:** \(0.00405 \, \text{cm}^2 = 0.405 \, \text{mm}^2\)
- **To m²:** \(0.00405 \, \text{cm}^2 = 4.05 \times 10^{-7} \, \text{m}^2\)

Would you like further clarification or more details?

### **Relative Questions:**
1. How do you convert other units of area like km² to cm²?
2. Why is it necessary to square the conversion factor when converting units of area?
3. How do you convert units of volume, such as cm³ to mm³?
4. What is the difference between converting units of length, area, and volume?
5. How would you convert \(0.00405 \, \text{cm}^2\) to \(\mu\text{m}^2\)?

### **Tip:**  
When converting area or volume units, remember to raise the conversion factor to the power corresponding to the dimension (square for area, cube for volume).

Learn how to convert 0.00405 cm² to mm² and m² with a detailed step-by-step guide. This process involves metric area unit conversions using 1 cm = 10 mm and 1 cm = 0.01 m. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation