Use the image to answer the question.

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

1,167 in.3
1,167 in. cubed

1,008 in.3
1,008 in. cubed

389 in.3
389 in. cubed

336 in.3
336 in. cubed
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Answer 1

To find the volume of a rectangular pyramid, we use the formula V = (1/3) * base area * height.

First, we need to find the base area. The base of the pyramid is a rectangle with a length of 14 inches and a width of 6 inches. Therefore, the base area is 14 * 6 = 84 square inches.

Next, we plug in the base area and the perpendicular height of 12 inches into the formula:

V = (1/3) * 84 * 12 = 336 cubic inches

Therefore, the rectangular pyramid contains 336 cubic inches. The closest answer choice is 336 in.3.