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
336 in.3
336 in. cubed
1,167 in.3
1,167 in. cubed
1,008 in.3
1,008 in. cubed
389 in.3
389 in. cubed
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The volume of a rectangular pyramid is given by the formula V = (1/3) * length * width * height.
Substitute the given values into the formula:
V = (1/3) * 14 * 6 * 12
V = (1/3) * 1008
V = 336 cubic inches
Therefore, the rectangular pyramid contains 336 cubic inches.
The answer is:
336 in.3
336 in. cubed