Dimensions are 21 wide base, 8 tall total, 17 long triangle side, 10 tall triangle side.
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)
364 cubic units
1,092 cubic units
3,276 cubic units
728 cubic units
To find the volume of the pyramid, we need to first find the area of the triangular base and then use the formula for the volume of a pyramid, which is 1/3 * base area * height.
The area of the triangular base can be found using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 21 * 8
Area = 84 square units
Now, the volume of the pyramid can be calculated as:
Volume = 1/3 * base area * height
Volume = 1/3 * 84 * 8
Volume = 224 cubic units
Therefore, the volume of the pyramid is 224 cubic units.
pick one of these options
364 cubic units
1,092 cubic units
3,276 cubic units
728 cubic units