The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid = 4,050 ft³.
How to Find the Volume of a Composite Figure?
The composite figure shown is composed of a square pyramid and a rectangular prism. To find the volume of the composite figure, find the volume of the square pyramid and the volume of the rectangular prims respectively.
Volume of the square pyramid = 1/3(B)(h), where:
Base area (B) = (l)(w) = (15)(15)
Base area (B) = (l)(w) = 225 ft³.
h = 9 ft
Volume of the square pyramid = 1/3(225)(9)
Volume of the square pyramid = 675 ft³.
Volume of the rectangular prism = (length)(width)(height)
Volume of the rectangular prism = (15)(15)(15)
Volume of the rectangular prism = 3,375 ft³.
The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid
The Volume of the composite figure = 3,375 + 675
The Volume of the composite figure = 4,050 ft³.
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