Mastering 3D Shapes Properties
Mathematics
GCSE Foundation
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A worksheet covering 3D Shapes Properties for GCSE Foundation students.
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Mastering 3D Shapes Properties
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key formulas for 3D shapes: Cube, Cuboid, Cylinder, Cone, and Sphere. Recall that:
Surface Area = sum of all faces, Volume = space inside the shape.
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 4 cm.
[2 marks]2.
Find the volume of a cuboid measuring 5 cm by 3 cm by 2 cm.
[2 marks]3.
A cylinder has a radius of 3 cm and height of 10 cm. Calculate its surface area (use π ≈ 3.14).
[3 marks]4.
What is the volume of a sphere with radius 6 cm? (Use π ≈ 3.14)
[3 marks]5.
A cone has a radius of 4 cm and slant height of 6 cm. Calculate its lateral surface area (π ≈ 3.14).
[3 marks]6.
A cube has a volume of 64 cm^3. Find the length of one side.
[2 marks]7.
Calculate the total surface area of a cuboid measuring 8 cm by 3 cm by 2 cm.
[3 marks]8.
A cylinder has a volume of 150 cm^3 and a radius of 3 cm. Find the height of the cylinder. (Use π ≈ 3.14)
[3 marks]9.
A sphere has a surface area of approximately 452.16 cm^2. Find its radius. (Use π ≈ 3.14)
[3 marks]10.
A cone with radius 5 cm and height 12 cm is made of a material with a surface area of 282.6 cm^2. Is this consistent with the given measurements? Explain briefly.
[4 marks]11.
A real-world scenario: A water tank in the shape of a cylinder has a radius of 2 meters and height of 5 meters. Calculate its capacity in cubic meters.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet