To find the volume of a rectangular pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
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Calculate the base area: The base of the pyramid is a rectangle with a length of 14 inches and a width of 6 inches.
\[ \text{Base Area} = \text{Length} \times \text{Width} = 14 , \text{inches} \times 6 , \text{inches} = 84 , \text{square inches} \]
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Use the height of the pyramid: The perpendicular height of the pyramid is given as 12 inches.
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Calculate the volume: Now plug the values into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times 84 , \text{in}^2 \times 12 , \text{in} = \frac{1}{3} \times 1008 , \text{in}^3 = 336 , \text{in}^3 \]
Therefore, the volume of the rectangular pyramid is 336 cubic inches.
The correct response is: 336 in.³ (336 in. cubed).