Volume of Composite 3D Figures Practice
Complete this assessment to review what you've learned. It will not count towa
rds your final grade, but it will help reinforce your understanding of finding the volume of composite 3D figures.
1. Find the volume of the following figure:
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Given:
- The base of the figure is a rectangular prism with a length of 6 units, a width of 4 units, and a height of 3 units.
- On top of the rectangular prism, there is a triangular prism with a base of a right triangle with a base of 6 units and a height of 3 units.
2. Find the volume of the following figure:
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/_________/ |
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Given:
- The figure is composed of two rectangular prisms stacked on top of each other.
- The first rectangular prism has a length of 8 units, a width of 6 units, and a height of 4 units.
- The second rectangular prism has a length of 8 units, a width of 6 units, and a height of 6 units.
3. Find the volume of the following figure:
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/____/ |
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Given:
- The figure is composed of a rectangular prism and a cylinder.
- The rectangular prism has a length of 10 units, a width of 4 units, and a height of 6 units.
- The cylinder has a radius of 2 units and a height of 8 units.
4. Calculate the total volume of the following figure:
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/________/ |
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Given:
- The figure is composed of a rectangular prism with a length of 5 units, a width of 3 units, and a height of 4 units.
- On top of the rectangular prism, there is a square pyramid with a base side of 4 units and a height of 3 units.
Once you have calculated the volumes of these composite figures, you can check your answers below:
1. Volume = 60 cubic units
2. Volume = 288 cubic units
3. Volume = 376 cubic units
4. Volume = 34 cubic units
Feel free to ask for further explanation on any of the problems if needed.