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Composite Solids Worksheet

This worksheet focuses on calculating the surface area and volume of composite solids, combining various 3D geometric shapes.

Grade 10 Math GeometryComposite Solids
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

geometrycomposite solidsvolumesurface areagrade 10
7 sections · Free to use · Printable
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Composite Solids Worksheet

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

1. A solid is formed by placing a hemisphere on top of a cylinder. The cylinder has a radius of 5 cm and a height of 10 cm. Find the total volume of the composite solid.

2. A rectangular prism has dimensions 8 cm by 6 cm by 10 cm. A cylinder with a radius of 2 cm and a height of 6 cm is removed from the center of the top face. Calculate the total surface area of the remaining composite solid.

8 cm6 cm10 cm

3. A composite solid made of a cone and a hemisphere is called a  .

4. When calculating the volume of a composite solid, you usually   the volumes of its individual parts.

5. The surface area of a composite solid requires careful consideration of the   surfaces.

6. Which of the following is NOT a common component of composite solids?

a

Cube

b

Sphere

c

Trapezoid

d

Pyramid

7. To find the surface area of a composite solid, you always add the surface areas of its individual component shapes.

T

True

F

False