https://file.aiquickdraw.com/mathbot/file/17257454600724bwsf7ia.jpg

From the image, it looks like the problem involves converting units, likely converting cubic feet to cubic meters (as indicated by the expression \( 42 \, \text{ft}^3 \) to \( \text{m}^3 \)).

The steps written down seem to indicate the multiplication of conversion factors from feet to meters. Let's break it down:

1. **The original volume**: \( 42 \, \text{ft}^3 \)
2. **Conversion from feet to meters**: 
   Since \( 1 \, \text{ft} = 0.3048 \, \text{m} \), we apply this conversion three times to account for the cubic units:
   \[
   42 \, \text{ft}^3 = 42 \times \left( 0.3048 \, \text{m} \right)^3
   \]
3. **Cubing the conversion factor**:
   \[
   (0.3048)^3 = 0.0283168
   \]
4. **Final calculation**:
   \[
   42 \, \text{ft}^3 = 42 \times 0.0283168 \, \text{m}^3 = 1.1893056 \, \text{m}^3
   \]
   
So, \( 42 \, \text{ft}^3 = 1.189 \, \text{m}^3 \) (rounded to three decimal places).

Would you like more details on this, or do you have any other questions?

Here are five related questions to explore:
1. How do you convert square feet to square meters?
2. How do unit conversions differ when dealing with area versus volume?
3. What is the conversion factor for cubic inches to cubic meters?
4. How do we convert between liters and cubic meters?
5. How can you derive the cubic conversion factor from any linear unit?

**Tip**: Always ensure that you cube (or square) the conversion factor when converting between units of volume (or area).

Convert 42 cubic feet (ft³) to cubic meters (m³).

Learn how to convert 42 cubic feet (ft³) to cubic meters (m³) with a detailed step-by-step solution. This problem covers key unit conversion concepts, including the conversion factor for feet to meters and the cubing process required for volume conversions.

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