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
389 in.3
389 in. cubed
1,167 in.3
1,167 in. cubed
1,008 in.3
1,008 in. cubed
336 in.3
336 in. cubed
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page 14 of 14
To find the volume of a rectangular pyramid, you use the formula V = (1/3) * base area * height.
First, calculate the base area:
Base area = Length * Width
Base area = 14 in * 6 in
Base area = 84 in^2
Now, plug in the values into the formula:
V = (1/3) * 84 * 12
V = (1/3) * 1008
V = 336 in^3
Therefore, the rectangular pyramid contains 336 cubic inches. The closest answer choice is:
336 in.3