Composite Solids Worksheet
A Grade 11 Math worksheet covering the calculation of surface area and volume of composite solids, including prisms, cylinders, pyramids, cones, and spheres.
Includes
Standards
Composite Solids Practice
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Read each question carefully and calculate the surface area or volume of the composite solids as indicated. Show all your work.
1. A solid is formed by a cylinder with a cone placed on top. The cylinder has a radius of 5 cm and a height of 10 cm. The cone has the same radius and a height of 12 cm. Calculate the total volume of the composite solid.
2. A water tank is in the shape of a cylinder with a hemispherical top. The cylinder has a diameter of 6 meters and a height of 8 meters. Calculate the total surface area of the water tank (do not include the base of the cylinder).
3. The of a composite solid is the sum of the volumes of its individual components.
4. When calculating the surface area of a composite solid, we must be careful not to double count or omit any surfaces.
5. A composite solid is made of a rectangular prism with a square pyramid on top. The prism has a base of 4 cm by 4 cm and a height of 5 cm. The pyramid has a height of 3 cm. Which formula would be used to find the total volume?
V = (lwh) + (1/3 * B * h)
V = (2lw + 2lh + 2wh) + (1/2 * P * l + B)
V = πr²h + (1/3 * πr²h)
V = 4/3 * πr³ + πr²h
6. To find the surface area of a composite solid, you always add the surface areas of the individual solids.
True
False
7. A toy block is made by attaching a half-cylinder to one side of a rectangular prism. The prism is 8 cm long, 4 cm wide, and 3 cm high. The half-cylinder has a radius of 2 cm and a length of 8 cm. Find the total volume of the toy block.