What is the volume, in cubic inches, of 12 1/2, 4 1/2, and 8

To find the volume of a rectangular prism (box) with the given dimensions, you multiply the length, width, and height together. The dimensions provided are:

- Length = \(12 \frac{1}{2}\) inches
- Width = \(4 \frac{1}{2}\) inches
- Height = \(8\) inches

First, convert the mixed numbers to improper fractions or decimals:

- \(12 \frac{1}{2} = 12.5\) inches
- \(4 \frac{1}{2} = 4.5\) inches
- Height remains \(8\) inches

Now, calculate the volume:

\[
\text{Volume} = 12.5 \times 4.5 \times 8
\]

Let's compute this:

\[
\text{Volume} = 12.5 \times 4.5 = 56.25 \text{ square inches}
\]

\[
\text{Volume} = 56.25 \times 8 = 450 \text{ cubic inches}
\]

So, the volume of the rectangular prism is **450 cubic inches**.

Would you like more details or have any questions?

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**Relative Questions:**

1. How would the volume change if the height were doubled?
2. What is the formula for the volume of a rectangular prism?
3. How can you convert a mixed number into an improper fraction?
4. What is the volume in cubic feet if you have the same dimensions?
5. How would the volume change if each dimension was increased by 1 inch?

**Tip:** When calculating volume, ensure all dimensions are in the same units before multiplying them together.

Learn how to calculate the volume of a rectangular prism with dimensions 12 1/2 inches, 4 1/2 inches, and 8 inches. Detailed step-by-step solution provided, including converting mixed numbers to decimals and multiplying dimensions.

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