Convert the volume 7.55 in.3 to m3, recalling
that 1 in. = 2.54 cm and 100 cm = 1 m.
Answer in units of m3

To convert the volume from cubic inches (in³) to cubic meters (m³), we can follow these steps:

1. **Convert inches to centimeters**:  
   Since \(1 \text{ inch} = 2.54 \text{ cm}\), then \(1 \text{ in}^3 = (2.54 \text{ cm})^3\).

2. **Convert cubic centimeters to cubic meters**:  
   \(100 \text{ cm} = 1 \text{ m}\), so \(1 \text{ cm}^3 = \left(\frac{1 \text{ m}}{100 \text{ cm}}\right)^3 = 10^{-6} \text{ m}^3\).

Now let's go through the calculations:

\[
7.55 \text{ in}^3 = 7.55 \times \left(2.54 \text{ cm}\right)^3 \times 10^{-6} \text{ m}^3
\]

\[
= 7.55 \times (2.54)^3 \times 10^{-6} \text{ m}^3
\]

\[
= 7.55 \times 16.387064 \times 10^{-6} \text{ m}^3
\]

\[
= 123.6900342 \times 10^{-6} \text{ m}^3
\]

\[
= 1.2369 \times 10^{-4} \text{ m}^3
\]

So, the volume \(7.55 \text{ in}^3\) is approximately \(1.2369 \times 10^{-4} \text{ m}^3\).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How do you convert square inches to square meters?
2. What is the volume of a cube with a side length of 3 inches in cubic meters?
3. How can you convert cubic centimeters to liters?
4. How do you convert cubic feet to cubic meters?
5. What is the process for converting cubic yards to cubic meters?

**Tip:** When converting between units, always remember to cube or square the conversion factor if dealing with volume or area.

Learn how to convert 7.55 cubic inches (in³) to cubic meters (m³) using a step-by-step guide. Understand the conversion process involving inches to centimeters and cubic centimeters to cubic meters. Perfect for high school students studying unit conversion and volume calculations.

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