You have a measurement of $2.2 \, \text{ft} \times 1.8 \, \text{ft} \times 1.3 \, \text{ft}$, and you're asked to calculate the result.

Step 1: Perform the multiplication

$2.2 \times 1.8 \times 1.3 = 5.148 \, \text{ft}^3$

Step 2: Determine the correct number of significant figures

• $2.2 \, \text{ft}$ has 2 significant figures.
• $1.8 \, \text{ft}$ has 2 significant figures.
• $1.3 \, \text{ft}$ has 2 significant figures.

Since all the measurements have 2 significant figures, the final answer should also be rounded to 2 significant figures.

Step 3: Round the result

$5.148 \, \text{ft}^3 \rightarrow 5.1 \, \text{ft}^3$

Final Answer:

$2.2 \, \text{ft} \times 1.8 \, \text{ft} \times 1.3 \, \text{ft} = 5.1 \, \text{ft}^3$

If you need further clarification, feel free to ask!

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Further Questions:

1. How would the calculation change if the measurements had different numbers of significant figures?
2. What is the difference between cubic feet ($\text{ft}^3$) and square feet ($\text{ft}^2$)?
3. How do you convert cubic feet into gallons?
4. How can you determine the volume of irregular objects using similar methods?
5. How does rounding impact precision in real-world measurements?

Tip:

When performing multi-step calculations, always track the number of significant figures in each step to ensure the final result is correctly rounded!