Composite 3D Figures Worksheet

Composite 3D Figures Worksheet

Read each question carefully and provide your answers in the space provided. Show all your work for full credit. Round your answers to two decimal places where necessary.

1. A composite 3D figure is formed by combining two or more   geometric solids.

2. To find the volume of a composite figure, you typically   the volumes of its individual components.

3. The surface area of a composite figure is the sum of the areas of all its exposed  .

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 surface area of the composite figure.

1. A shed is shaped like a rectangular prism with a triangular prism (for the roof) on top. The rectangular prism has dimensions of 6 m (length), 4 m (width), and 3 m (height). The triangular prism has a base of 4 m and a height of 2 m.

Calculate the total volume of the shed.

1. Which of the following is NOT a common component of composite 3D figures?

1. When calculating the surface area of a composite figure, you must always subtract the area of the overlapping surfaces.

1. A cylindrical hole with a diameter of 4 cm is drilled through the center of a cube with side length 10 cm. Calculate the volume of the remaining solid.