a prism and pyramid have congruent triangular bases. if their heights are both 15 m, what is the volume of each shape?

length- 14 m
width- 16 m
height- 7 m
height- 8 m

To find the volume of the prism, we will use the formula:

Volume = (base area) x height

The base area of the prism is the area of the triangle, which can be calculated using the formula for the area of a triangle:

base area = 1/2 x base x height = 1/2 x 14 x 16 = 112 square meters

Therefore, the volume of the prism is:

Volume = 112 square meters x 7 meters = 784 cubic meters

To find the volume of the pyramid, we will use the formula:

Volume = (1/3) x (base area) x height

The base area of the pyramid is also 112 square meters, so the volume of the pyramid is:

Volume = (1/3) x 112 square meters x 8 meters = 298.67 cubic meters

Therefore, the volume of the prism is 784 cubic meters and the volume of the pyramid is 298.67 cubic meters.