https://file.aiquickdraw.com/mathbot/file/1726499208913a1htjr31.jpg

The volume \( V \) of a rectangular prism can be found using the formula:

\[
V = l \times w \times h
\]

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

From the image, the dimensions of the crate are:
- Length \( l = 14 \, \text{in.} \),
- Width \( w = 6 \, \text{in.} \),
- Height \( h = 6 \, \text{in.} \).

Now we calculate the volume:

\[
V = 14 \times 6 \times 6 = 504 \, \text{cubic inches}
\]

Therefore, the volume of the crate is **504 cubic inches**, which corresponds to option **D**.

Would you like more details or have any other questions?

Here are some related questions to think about:
1. How does the volume change if one dimension is doubled?
2. How do you calculate the surface area of a rectangular prism?
3. How would the formula change for a triangular prism?
4. How do the formulas for volume differ between a prism and a cylinder?
5. How do you convert cubic inches to cubic feet?

**Tip**: Remember that volume calculations always involve multiplying three dimensions.

A crate is in the shape of a right rectangular prism with dimensions 14 in. by 6 in. by 6 in. What is the volume of the crate?

Learn how to calculate the volume of a rectangular prism with dimensions 14 in. by 6 in. by 6 in. using the formula V = l × w × h. Suitable for students in Grades 6-8, this solution explains how the volume is determined to be 504 cubic inches.

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