To find the volume of a rectangular pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The base area of a rectangle is calculated by multiplying its length and width. Here, the length (L) is 6 in, and the width (W) is 14 in.
- Calculate the base area:
\[ \text{Base Area} = L \times W = 6 , \text{in} \times 14 , \text{in} = 84 , \text{in}^2 \]
- Now, using the height (H) of the pyramid, which is 12 in:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 84 , \text{in}^2 \times 12 , \text{in} \]
- Calculate the volume:
\[ \text{Volume} = \frac{1}{3} \times 84 \times 12 = \frac{1}{3} \times 1008 = 336 , \text{in}^3 \]
Therefore, the volume of the rectangular pyramid is \(336 , \text{in}^3\).
The correct answer is:
336 in.³