Use the image to answer the question.
An illustration shows a rectangular pyramid with a length of 14 inches, a width of 6 inches, and a perpendicular height of 12 inches. The face with the length of 6 inches has a slant height of 13.89 inches. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
How many cubic inches does this rectangular pyramid contain? Round answer to the nearest whole number.
(1 point)
Responses
1,008 in.3
1,008 in. cubed
336 in.3
336 in. cubed
1,167 in.3
1,167 in. cubed
389 in.3
389 in. cubed
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To calculate the volume of a pyramid, you can use the formula V = (1/3) * base area * height.
The base area is length * width, which is 14 * 6 = 84 square inches.
The height of the pyramid is given as 12 inches.
Now, plug these values into the formula: V = (1/3) * 84 * 12 = 1,008 cubic inches.
Therefore, the rectangular pyramid contains 1,008 cubic inches. The closest answer choice is 1,008 in.3.