Use the image to answer the question.
An illustration shows a triangular prism and a triangular pyramid. The edges that are not visible are marked as dashed lines. The triangular prism has its triangular face as the base. The area of the triangular face is labeled as upper B equals 10 inches squared. The length is 7 inches. The triangular pyramid has the triangular face as its base with the area labeled upper B equals 10 inches squared. The perpendicular height of the pyramid is 7 inches.
How does the volume of the prism compare to the volume of the pyramid?
(1 point)
Responses
The volume of the pyramid is three times as large as the volume of the prism.
The volume of the pyramid is three times as large as the volume of the prism.
The volume of the prism is three times as large as the volume of the pyramid.
The volume of the prism is three times as large as the volume of the pyramid.
The volume of the prism is 13 the size of the pyramid.
The volume of the prism is Start Fraction 1 over 3 End Fraction the size of the pyramid.
The volume of the prism is the same as the volume of the pyramid.
The volume of the prism is the same as the volume of the pyramid.
The volume of the prism is three times as large as the volume of the pyramid.
Use the image to answer the question.
An illustration shows a triangle with sides measuring 21, 17, and 10. A perpendicular line, from the side measuring 21 to the opposite angle, measures 8. A right angle symbol is shown to the left of the perpendicular line.
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
1,092 cubic units
1,092 cubic units
728 cubic units
728 cubic units
3,276 cubic units
3,276 cubic units
364 cubic units