Composite 3D Figures Worksheet
Calculate the surface area and volume of composite 3D figures, combining various geometric solids.
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Composite 3D Figures
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Read each question carefully and calculate the surface area or volume of the composite 3D figures. Show all your work.
1. A composite figure is made of a cylinder with a hemisphere on top. The cylinder has a radius of 3 cm and a height of 10 cm. Calculate the total volume of the figure.
2. A toy is shaped like a cone placed on top of a cylinder. The cylinder has a radius of 4 cm and a height of 8 cm. The cone has the same radius and a slant height of 5 cm. Calculate the total surface area of the toy.
3. A composite 3D figure is formed by combining two or more geometric solids.
4. To find the volume of a composite figure, you typically the volumes of its individual parts.
5. When calculating the surface area of a composite figure, you always add the surface areas of the individual shapes.
True
False
Match each 3D shape with its volume formula.
6. Cylinder
a. (1/3)πr²h
7. Cone
b. πr²h
8. Sphere
c. (4/3)πr³
9. A rectangular prism has dimensions 6 cm x 4 cm x 2 cm. A cube with side length 2 cm is removed from one corner. Calculate the volume of the remaining composite figure.