Question

Question

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

389 in.3
389 in. cubed

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

To calculate the volume of a rectangular pyramid, you can use the formula: 1/3 * base area * height.

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

Then, calculate the volume:
Volume = 1/3 * base area * height = 1/3 * 84 * 12 = 1,008 cubic inches

Therefore, the rectangular pyramid contains 1,008 cubic inches.

Answer: 1,008 in.3