To calculate the volume of a rectangular pyramid, we can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
- First, calculate the base area. The base of the pyramid is a rectangle with length (l) of 14 inches and width (w) of 6 inches.
\[ \text{Base Area} = l \times w = 14 , \text{in} \times 6 , \text{in} = 84 , \text{in}^2 \]
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Next, we know the height (h) of the pyramid is 12 inches.
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Now, substitute these values into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times 84 , \text{in}^2 \times 12 , \text{in} \]
\[ \text{Volume} = \frac{1}{3} \times 1008 , \text{in}^3 \]
\[ \text{Volume} = 336 , \text{in}^3 \]
Thus, the volume of the rectangular pyramid is:
\[ \boxed{336 , \text{in}^3} \]
The correct response is 336 in.³.