Mastering 3D Shapes Properties
Mathematics
Year 9
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A worksheet covering 3D Shapes Properties for Year 9 students.
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Mastering 3D Shapes Properties
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Review the formulas for the surface area and volume of common 3D shapes such as cubes, cuboids, cylinders, and cones. Use these formulas to answer the questions that follow.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cube with side length 5 cm.
[2 marks]2.
Find the volume of a cuboid with length 10 cm, width 4 cm, and height 3 cm.
[2 marks]3.
A cylinder has a radius of 7 cm and height of 10 cm. Calculate its surface area. (Use π ≈ 3.14)
[3 marks]4.
What is the volume of a cone with a radius of 3 cm and height of 9 cm? (Use π ≈ 3.14, V = (1/3)πr²h)
[3 marks]5.
A sphere has a diameter of 12 cm. Calculate its volume. (Use V = (4/3)πr³, π ≈ 3.14)
[3 marks]6.
Identify whether the following statement is true or false: All pyramids have a rectangular base.
[1 mark]7.
Calculate the lateral surface area of a right circular cylinder with radius 4 cm and height 15 cm. (Use π ≈ 3.14)
[3 marks]8.
A rectangular prism has dimensions 8 cm by 3 cm by 5 cm. Find its surface area.
[3 marks]9.
Reasoning: If the height of a cone increases while the radius remains the same, how does the volume change? Explain your answer.
[2 marks]10.
Challenge: A cylindrical tank has a radius of 6 meters and a height of 10 meters. Calculate the total surface area to determine how much material is needed to make the tank. Use π ≈ 3.14.
[4 marks]11.
Real-world application: A company produces spherical ornaments with a diameter of 8 cm. How much material is used to make one ornament? (V = (4/3)πr³, π ≈ 3.14)
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet