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

389 in.3
389 in. cubed

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

336 in.3
336 in. cubed

1,167 in.3

1 answer

The volume of a pyramid is given by the formula V = (1/3) * length * width * height.

Plugging in the values, we get V = (1/3) * 14 * 6 * 12 = 336 cubic inches.

Therefore, the rectangular pyramid contains 336 cubic inches. Answer: 336 in.3
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