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. Use π ≈ 3.14 where necessary.

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 8 cm. Calculate the total volume of the composite figure.

2. Which two basic 3D shapes typically form a 'house' composite figure?

3. When calculating the surface area of a composite figure, you must remember to subtract any   areas where the figures join.

4. A composite figure consists of a cube with side length 5 cm and a square pyramid placed on top of one of its faces. The pyramid has a base side length of 5 cm and a slant height of 4 cm. Calculate the total surface area of the composite figure.

5. The volume of a composite figure is always the sum of the volumes of its individual components.

6. A water tank is in the shape of a cylinder with a cone attached to one end. The cylinder has a diameter of 10 feet and a height of 15 feet. The cone has the same diameter and a height of 6 feet. How much water can the tank hold when full? (Round to two decimal places).