Area of Cross-section × Length: Problem Solving & Reasoning
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the volume of prisms using the Area of Cross-section multiplied by Length, suited for GCSE Foundation students. Includes procedural, problem-solving, and real-world questions.
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Area of Cross-section × Length: Problem Solving & Reasoning
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 volume of a rectangular prism with a cross-sectional area of 12 cm² and a length of 5 cm.
[2 marks]2.
A cylindrical prism has a cross-sectional area of 20 cm² and a length of 15 cm. Find its volume.
[2 marks]3.
Determine the volume of a prism where the cross-sectional shape has an area of 8 cm² and the prism is 10 cm long.
[2 marks]4.
A prism has a cross-sectional area of 25 cm² and a length of 8 cm. What is its volume?
[2 marks]5.
Construct a triangular cross-section with an area of 6 cm² and then extend it along a length of 12 cm to find the volume.
[3 marks]6.
A box-shaped prism has a cross-sectional area of 18 cm² and is 14 cm long. Calculate its volume.
[2 marks]7.
A prism's cross-section is a parallelogram with an area of 24 cm², and the length of the prism is 7 cm. Find the volume.
[2 marks]8.
A prism has a cross-sectional area of 10 cm² and a length of 20 cm. Calculate its volume, then explain how increasing the cross-sectional area affects the volume.
[3 marks]9.
A rectangular prism has a volume of 150 cm³. If the cross-sectional area is 30 cm², what is the length?
[2 marks]10.
Challenge: A prism's cross-sectional area varies along its length, but its average cross-sectional area is 10 cm². If the total length is 25 cm, estimate its volume.
[3 marks]11.
Error Analysis: A student calculated the volume of a prism as 100 cm³, given a cross-sectional area of 20 cm² and length 8 cm. Identify and correct the mistake.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet