Area of Cross-section × Length: Real-world Applications in Engineering
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 their cross-section multiplied by length, within engineering contexts.
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Area of Cross-section × Length: Real-world Applications in Engineering
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 30 cm² and a length of 50 cm.
[2 marks]2.
A cylindrical pipe has a cross-sectional area of 12.56 cm² and is 3 meters long. Find its volume in cubic centimeters.
[3 marks]3.
Determine the volume of a prism with an irregular cross-section averaging 45 cm² in area and a length of 2.5 meters.
[2 marks]4.
Plot the graph of y=2x for x values from 0 to 10 on the grid.
[2 marks]5.
Construct a right prism with a cross-sectional area of 40 cm² and a length of 4 meters. Calculate its volume.
[3 marks]6.
A rectangular beam has a cross-sectional area of 25 cm² and is 2.2 meters long. What is its volume in cubic centimeters?
[2 marks]7.
A water tank in the shape of a prism has a cross-sectional area of 60 cm² and a length of 3.5 meters. Calculate the volume in liters.
[3 marks]8.
Identify and correct the mistake in this calculation: A prism has a cross-sectional area of 45 cm² and a length of 10 m. The volume is calculated as 45 × 1000 = 45,000 cubic centimeters.
[2 marks]9.
Calculate the volume of a triangular prism with a cross-sectional area of 25 cm² and a length of 1.8 meters.
[3 marks]10.
A rectangular frame is 3 meters long, 2 meters wide, and 0.5 meters deep. Find the volume of the frame in cubic meters, assuming the cross-section is the 2D face.
[3 marks]11.
A pipeline has a cross-sectional area of 15 cm² and runs for 500 meters. What is the volume of the pipeline in liters?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet