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

336 in.3
336 in. cubed

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

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

389 in.3
389 in. cubed
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Answer 1

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

First, calculate the base area: Base area = length * width = 14 * 6 = 84 square inches

Now, plug in the values into the formula: V = (1/3) * 84 * 12 = 336 cubic inches

Therefore, the rectangular pyramid contains 336 cubic inches, which rounded to the nearest whole number is 336 in.³.

So, the answer is:
336 in.³