Composite 3D Figures Worksheet

Composite 3D Figures

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Define a composite 3D figure and provide two examples of common objects that are composite figures.

2. A composite figure made from a cylinder and a cone joined at their bases is called a  .

3. When calculating the surface area of a composite figure, you must remember to subtract the area of the   faces.

4. A toy block is made from a cube with side length 4 cm and a pyramid with a square base of 4 cm and a height of 3 cm placed on top. What is the total surface area of the toy block (excluding the base of the pyramid that is attached to the cube)?

5. A silo is composed of a cylinder with a radius of 5 meters and a height of 15 meters, topped by a hemisphere of the same radius. Calculate the total volume of the silo. Use π ≈ 3.14.

6. The surface area of a composite figure is always the sum of the surface areas of its individual component figures.

7. A solid is formed by placing a cone (radius 3 cm, height 4 cm) on top of a cylinder (radius 3 cm, height 8 cm). Find the total surface area of this solid. (Hint: don't forget the base of the cylinder).