To calculate the volume of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
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Calculate the Base Area: The base is a rectangle with a length of 14 inches and a width of 6 inches. \[ \text{Base Area} = \text{Length} \times \text{Width} = 14 , \text{inches} \times 6 , \text{inches} = 84 , \text{inches}^2 \]
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Use the Height: The height of the pyramid is given as 12 inches.
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Calculate the Volume: Now plug the base area and height into the volume formula. \[ V = \frac{1}{3} \times 84 , \text{inches}^2 \times 12 , \text{inches} \] \[ V = \frac{1}{3} \times 1008 , \text{inches}^3 \] \[ V = 336 , \text{inches}^3 \]
Now, rounding to the nearest whole number gives \( 336 , \text{inches}^3 \).
Thus, the answer is:
336 in.³