Use the image to answer the question. A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 1,092 cubic units, what is the volume of the pyramid? (1 point) Responses 364 cubic units 364 cubic units 728 cubic units 728 cubic units 1,092 cubic units 1,092 cubic units 3,276 cubic units
the triangle is on the floor
length: 21
line in the middle: 8
the side on top of the length is 17
and on the right side of the length is 10
To find the volume of the pyramid, we need to divide the volume of the prism by 3 since they have the same height and base area.
Base area of the triangle: 1/2 * base * height
Base area = 1/2 * 21 * 8
Base area = 84 square units
Volume of the prism = base area * height
Volume of the prism = 84 * 13
Volume of the prism = 1,092 cubic units
Volume of the pyramid = Volume of the prism / 3
Volume of the pyramid = 1,092 / 3
Volume of the pyramid = 364 cubic units
Therefore, the volume of the pyramid is 364 cubic units.