Composite 3D Figures Worksheet

Explore and calculate the volume and surface area of composite 3D figures at a Grade 7 level.

Grade 7 Math GeometryComposite 3d Figures

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

composite figures3D geometryvolumesurface areagrade 7 math

8 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 composite figure is made of a rectangular prism (length 5 cm, width 4 cm, height 3 cm) and a cube (side length 2 cm) placed on top of the prism. Calculate the total volume of the composite figure.

2. A composite figure formed by a cylinder and a cone on top is called a .

3. The total volume of a composite figure is found by the volumes of its individual parts.

4. A composite figure made of two rectangular prisms joined together is often called a shape.

5. A toy is shaped like a cylinder with a hemisphere on top. The cylinder has a radius of 3 cm and a height of 5 cm. Calculate the total surface area of the toy. (Use π ≈ 3.14)

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

Cube

Sphere

Triangle

Cylinder

7. When calculating the surface area of a composite figure, you always add the surface areas of the individual shapes.

True

False

8. A water tank is composed of a rectangular prism base (length 10 ft, width 5 ft, height 4 ft) with a half-cylinder on top (radius 2.5 ft, length 10 ft). What is the maximum volume of water the tank can hold? (Use π ≈ 3.14)