https://file.aiquickdraw.com/mathbot/file/1725473843111wgjf766w.jpg

To solve the problem, we need to find the volume of the gift box and then determine which of the given answer choices is *not* an appropriate approximation.

### Step 1: Calculate the volume of the gift box.
The volume \( V \) of a rectangular box can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Here, the dimensions given are:
- Length = 8.75 inches
- Width = 4.75 inches
- Height = 2.5 inches

So, we calculate the volume:
\[
V = 8.75 \times 4.75 \times 2.5
\]

### Step 2: Perform the multiplication.
Let me calculate that for you:

\[
V = 8.75 \times 4.75 \times 2.5 = 103.90625 \, \text{in}^3
\]

### Step 3: Compare the result with the given options.
The volume is approximately \( 103.906 \, \text{in}^3 \). Now let's evaluate the options:

- **A**: 103 in³ (Close approximation)
- **B**: 100 in³ (Less accurate)
- **C**: 103.9 in³ (Very close)
- **D**: 103.906 in³ (Exact calculation)

### Conclusion:
The choice that is *not* an appropriate approximation is **B: 100 in³**, as it deviates the most from the actual volume.

Would you like any further details or explanations? 

Here are five related questions you might find helpful:

1. How do you round a decimal number to the nearest tenth, hundredth, or thousandth?
2. What is the significance of significant figures in approximations?
3. How can you calculate the surface area of a rectangular box?
4. How does the accuracy of measurements affect the final result in volume calculations?
5. What are the differences between exact and approximate values in mathematical calculations?

**Tip:** When calculating volumes or areas, always check whether the problem requires an exact value or an approximation. Rounding can sometimes lead to significant errors, so it's crucial to consider the context of the problem.

You measure the dimensions of a gift box as 8.75 inches, 4.75 inches, and 2.5 inches. Which of the following is not an appropriate approximation of the volume of the gift box?

Learn how to calculate the volume of a rectangular gift box with dimensions 8.75 inches, 4.75 inches, and 2.5 inches. Understand which approximation is inaccurate in this geometry problem suitable for Grades 7-9.

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