Composite 3D Figures Worksheet

This worksheet focuses on calculating the volume and surface area of composite 3D figures for 8th-grade geometry students.

Grade 8 Math GeometryComposite 3d Figures

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.C.9

Topics

geometry3D figuresvolumesurface areacomposite figuresgrade 8

8 sections · Free to use · Printable

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Composite 3D Figures

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Read each question carefully and show all your work. Round your answers to two decimal places where necessary. Use π ≈ 3.14.

1. A composite figure is made of a cylinder with a hemisphere on top. The cylinder has a height of 10 cm and a radius of 3 cm. Calculate the total volume of the figure.

2. Find the volume of a shed that is shaped like a rectangular prism with a triangular prism roof. The rectangular prism is 6 m long, 4 m wide, and 3 m high. The triangular prism roof has a height of 1.5 m.

3. A composite figure made of a cone placed on top of a cylinder has two main components: a and a .

4. To find the total volume of a composite figure, you typically the volumes of its individual parts.

5. When calculating the surface area of a composite figure, you must be careful to not include the area where the figures are joined.

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

Cube

Sphere

Triangle

Pyramid

7. A toy block is formed by joining a cube with a side length of 4 cm and a square pyramid with a base matching the cube's face and a height of 3 cm. What is the volume of the cube part?

16 cm³

48 cm³

64 cm³

80 cm³

8. A cylindrical pillar has a diameter of 2 meters and a height of 5 meters. A hemispherical dome is placed on top of it. Calculate the total surface area of the pillar and dome (excluding the base of the pillar).

9. The volume of a composite figure is always the sum of the volumes of its individual parts.

True

False

10. When calculating the surface area of a composite figure, you always add the surface areas of all individual parts without any adjustments.

True

False

11. A grain silo is composed of a cylinder and a cone on top. The cylinder has a height of 15 feet and a radius of 6 feet. The cone has the same radius and a height of 8 feet. How many cubic feet of grain can the silo hold?