A prism and pyramid have congruent triangular bases if their heights are both 15 m, what is the volume of each shape
measurments: 14m, 16m, 7m, 8m
To find the volume of each shape, we first need to find the area of the congruent triangular bases.
For a prism, the area of the triangular base is:
Area_prism = 0.5 * base * height = 0.5 * 14 * 8 = 56 square meters
For a pyramid, the area of the triangular base is:
Area_pyramid = 0.5 * base * height = 0.5 * 14 * 8 = 56 square meters
Now that we have found the area of the triangular base, we can find the volume of each shape.
For a prism, volume_prism = Area_prism * height = 56 * 15 = 840 cubic meters
For a pyramid, volume_pyramid = (1/3) * Area_pyramid * height = (1/3) * 56 * 15 = 280 cubic meters
Therefore, the volume of the prism is 840 cubic meters and the volume of the pyramid is 280 cubic meters.