Composite 3D Figures Worksheet

Explore composite 3D figures by identifying their component shapes and calculating their volumes and surface areas.

Grade 6 Math GeometryComposite 3d Figures

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.G.A.2CCSS.MATH.CONTENT.6.G.A.4

Topics

composite figures3d shapesvolumesurface areageometry

7 sections · Free to use · Printable

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Composite 3D Figures

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

1. A shed is built with a rectangular prism base and a triangular prism roof. What two basic 3D shapes make up this composite figure?

2. Imagine an ice cream cone. What two basic 3D shapes form this composite figure?

3. To find the volume of a composite figure, you typically the volumes of its individual component shapes.

4. The formula for the volume of a rectangular prism is V = × width × height.

5. Calculate the volume of the composite figure below, which is made of two rectangular prisms. The bottom prism is 10 cm long, 5 cm wide, and 3 cm high. The top prism is 4 cm long, 5 cm wide, and 2 cm high.

6. When calculating the surface area of a composite figure, which surfaces are NOT included in the total?

All exterior surfaces

Overlapping interior surfaces

The base of the figure

The top of the figure

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

True

False