General 3D Shapes: Fluency & Practice
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying Pythagoras' theorem to general 3D shapes, aimed at GCSE Foundation students. It covers procedural skills, problem solving, and real-world applications.
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General 3D Shapes: Fluency & Practice
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of the space diagonal of a rectangular box with length 8 cm, width 6 cm, and height 5 cm.
[3 marks]2.
A square-based pyramid has a base edge of 6 cm and a vertical height of 9 cm. Calculate the slant height of the pyramid.
[4 marks]3.
Construct a right-angled triangle on the grid with legs of 5 cm and 12 cm. Find the hypotenuse length.
[2 marks]4.
Using Pythagoras' theorem, find the space diagonal of a cube with side length 10 cm.
[3 marks]5.
A cylindrical tank has a radius of 4 m and height of 10 m. Calculate the length of the diagonal from the top edge of the cylinder to a point directly below on the base.
[3 marks]6.
A rectangular prism measures 12 cm by 9 cm by 15 cm. Find the length of its space diagonal.
[3 marks]7.
A cube has a volume of 343 cm³. Calculate the length of its space diagonal.
[4 marks]8.
A rectangular box has dimensions 10 cm, 14 cm, and 24 cm. Find the length of the space diagonal using Pythagoras' theorem.
[4 marks]9.
A prism with a square base of side 6 cm and height 10 cm is shown. Calculate the length of the space diagonal of the prism.
[3 marks]10.
Identify and correct the mistake in this calculation: The space diagonal of a cuboid with sides 8 cm, 15 cm, and 17 cm is calculated as √(8² + 15² + 17²) = √(64 + 225 + 289) = √578 ≈ 24.04 cm.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet