Composite 3D Figures Worksheet

Explore and analyze composite 3D figures, calculating surface area and volume for various combinations of geometric solids.

Grade 11 Math GeometryComposite 3d Figures

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4CCSS.MATH.CONTENT.HSG.MG.A.1

Topics

geometry3D figurescomposite figuressurface areavolume

8 sections · Free to use · Printable

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Composite 3D Figures Worksheet

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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?

Cylinder

Sphere

Pentagon

Cone

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

True

False

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.