Mastering 3D Shapes Properties
Mathematics
GCSE Higher
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A worksheet covering 3D Shapes Properties for GCSE Higher students.
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Mastering 3D Shapes Properties
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the formulas for the surface area and volume of cubes, cylinders, cones, and spheres. Use these formulas to answer the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cube with side length 5 cm.
[2 marks]2.
Find the surface area of a cylinder with radius 3 cm and height 10 cm. (Use π ≈ 3.14)
[3 marks]3.
A cone has a radius of 4 cm and a slant height of 6 cm. Calculate its lateral surface area. (Use π ≈ 3.14)
[3 marks]4.
What is the volume of a sphere with diameter 10 cm?
[2 marks]5.
Calculate the surface area of a cube with side length 8 cm.
[2 marks]6.
A cylinder has a volume of 150 cm³ and radius 3 cm. Find its height.
[3 marks]7.
A cone has a height of 9 cm and a radius of 3 cm. Calculate its volume. (Use π ≈ 3.14)
[3 marks]8.
A sphere has a radius of 7 cm. Calculate its surface area. (Use π ≈ 3.14)
[3 marks]9.
Reasoning: A rectangular-based prism has length 12 cm, width 8 cm, and height 10 cm. Calculate its volume and explain how the volume formula relates to the shape's dimensions.
[4 marks]10.
Challenge: A tank in the shape of a cylinder has radius 2.5 m and height 4 m. If the tank is filled with water, how much water does it hold in liters? (Note: 1 m³ = 1000 liters)
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet