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.