Composite 3D Figures Worksheet

Composite 3D Figures

Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. A composite figure is made of a rectangular prism (length 5 cm, width 4 cm, height 3 cm) and a cube (side length 2 cm) placed on top of the prism. Calculate the total volume of the composite figure.

2. A composite figure formed by a cylinder and a cone on top is called a  .

3. The total volume of a composite figure is found by   the volumes of its individual parts.

4. A composite figure made of two rectangular prisms joined together is often called a   shape.

5. A toy is shaped like a cylinder with a hemisphere on top. The cylinder has a radius of 3 cm and a height of 5 cm. Calculate the total surface area of the toy. (Use π ≈ 3.14)

6. Which of the following is NOT a common 3D shape used to form composite figures?

7. When calculating the surface area of a composite figure, you always add the surface areas of the individual shapes.

8. A water tank is composed of a rectangular prism base (length 10 ft, width 5 ft, height 4 ft) with a half-cylinder on top (radius 2.5 ft, length 10 ft). What is the maximum volume of water the tank can hold? (Use π ≈ 3.14)