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