10.2.4 Volume of Pyramids and Cones (continued) Example 5 Finding Volumes of Composite Three-Dimensional Figures
The volume of a composite figure is determined in this example. The figure is given as a cube with a right square pyramid on top. The pyramid base is congruent to the face of the cube. The edge of the cube is given as 5 ft and the height of the pyramid is given as 12 ft. The volume of the cube is obtained by cubing the length of one edge. The volume is 125 ft 3 . The volume of the pyramid is obtained by substituting the base area and the height into the formula for the volume of a pyramid. The base area is equal to the length of the edge of the cube squared. The volume of the pyramid is 100 ft 3 . The volume of the composite solid is 225 ft 3 .
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