Some of the dimensions of a rectangular pyramid are shown in the diagram. The prism is not drawn to scale. The height of the rectangular pyramid is 17 meters.
What is the volume of the pyramid in cubic meters?
A 112 m³
B 1,904 m³
C 8,553 m³
D 170 m³
To find the volume of a rectangular pyramid, we use the formula:
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is a rectangle with length 8 meters and width 6 meters. Therefore, the base area is:
Base Area = 8 meters * 6 meters = 48 square meters
The height of the pyramid is given as 17 meters. Substituting these values into the volume formula, we get:
Volume = (1/3) * 48 square meters * 17 meters
Volume = (1/3) * 48 * 17 cubic meters
Volume = 8 * 17 cubic meters
Volume = 136 cubic meters
Therefore, the volume of the triangular prism is 136 cubic meters.
None of the provided answer options match this result, so the correct answer is not provided.