Mastering Volume of Prisms & Cylinders
Mathematics
GCSE Higher
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A worksheet covering Volume of Prisms & Cylinders for GCSE Higher students.
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Mastering Volume of Prisms & Cylinders
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the formulas: Volume of a prism = area of cross-section × length, and Volume of a cylinder = π × r² × height.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a rectangular prism with length 8 cm, width 5 cm, and height 10 cm.
[2 marks]2.
A cylindrical tank has a radius of 3 meters and a height of 10 meters. Find its volume.
[2 marks]3.
What is the volume of a triangular prism with a base area of 12 cm² and length 15 cm?
[2 marks]4.
Calculate the volume of a cube with side length 4 cm.
[2 marks]5.
A prism has a cross-sectional area of 20 cm² and a length of 25 cm. Find its volume.
[2 marks]6.
A cylinder has a radius of 7 cm and height 14 cm. Calculate its volume, using π ≈ 3.14.
[3 marks]7.
Find the volume of a rectangular prism with dimensions 12 cm by 9 cm by 6 cm.
[2 marks]8.
A cylindrical water tank has a diameter of 4 meters and a height of 5 meters. Calculate its volume.
[3 marks]9.
A prism with a cross-sectional area of 35 cm² has a length of 20 cm. What is its volume?
[2 marks]10.
Calculate the volume of a cube with a side length of 7 cm.
[2 marks]11.
A real-world scenario: A cylindrical silo has a radius of 6 meters and a height of 15 meters. Estimate how much space is available inside the silo.
[4 marks]12.
Challenge: A swimming pool is in the shape of a rectangular prism measuring 25 m long, 10 m wide, and 2 m deep. How many cubic meters of water can it hold?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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