Exercise 27 Page 845

Let's analyze the given composite solid.

Notice that the solid is made of a rectangular prism and a rectangular pyramid, both of which have the same base. The height of the prism is h_1=10 meters, and the height of the pyramid is h_2=9.1 meters. The base is a rectangle with sides of 20.4 and 12 meters.

The area of a rectangle B is calculated by multiplying the rectangle's dimensions. Therefore, B=20.4* 12=244.8 square meters. Now, let's use the formulas for the volume of a prism and for the volume of a pyramid.

This tells us that the volume of the prism is V_1=2448 cubic meters, and the volume of the pyramid is V_2=742.56 cubic meters. Therefore, the volume of the composite solid is 2448+742.56=3190.56 cubic meters. We are asked to round the answer to the nearest tenth.

The volume of the given solid is about 3190.6 cubic meters.