To find the volume of a composite 3D figure, you need to break it down into individual shapes and then find the volume of each shape separately.
For the given composite figure:
- The figure consists of a rectangular prism with dimensions 5, 5, and 12.
- There is a rectangular prism cut out from the center of the larger prism with dimensions 10, 5, and 5.
To find the total volume of the composite figure, you first find the volume of the larger rectangular prism and then subtract the volume of the smaller prism that was cut out.
Volume of the larger rectangular prism:
Volume = length x width x height
Volume = 5 x 5 x 12
Volume = 300 units^3
Volume of the smaller rectangular prism:
Volume = length x width x height
Volume = 10 x 5 x 5
Volume = 250 units^3
Total volume of the composite figure:
Total volume = Volume of larger prism - Volume of smaller prism
Total volume = 300 - 250
Total volume = 50 units^3
Therefore, the total volume of the composite figure is 50 cubic units.
Volume of composite 3D figures quick check 5,5,12,10,5,5
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