Composite 3D Figures Worksheet

Explore and calculate the surface area and volume of composite 3D figures in this Grade 9 Math worksheet.

Grade 9 Math GeometryComposite 3d Figures

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.MG.A.1

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Composite 3D Figures

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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?

Cylinder and Cone

Cube and Sphere

Rectangular Prism and Triangular Prism

Pyramid and Cylinder

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.

True

False

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).