Volume and Surface Area of Cylinders and Prisms — Interactive Lesson & Activities (Ages 14–16)

How do you find the volume of a prism? This 17-slide interactive lesson teaches the volume and surface area of cylinders and prisms, with worked examples.

Mastering Cylinders and Prisms at GCSE

Students learn to calculate the volume of cylinders and prisms, calculate the surface area of cylinders and prisms, find a missing side length given the volume and work with shapes made from cylinders and other prisms. Hints show that the first step is the area of the cross-section, such as a triangle, then volume is area multiplied by length. Worked questions include a triangular prism, and cylinders with radius 3 cm, 2 cm and 7 cm, with answers to 2 significant figures or 2 decimal places.

What’s Included

• 17-slide interactive lesson on cylinders and prisms
• Learning objectives on volume, surface area, missing lengths and composite shapes
• Triangular prism and cylinder questions with diagrams
• Step-by-step hints starting from the cross-section
• Fill-in-the-blank calculations with instant feedback

Key Benefits for Students

• Builds a clear method: area of the cross-section times length
• Practises giving answers to significant figures and decimal places
• Combines volume and surface area in one lesson
• Instant feedback on answer questions

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• Worked examples model how to lay out each calculation
• Self-marking questions support independent practice
• Suits teaching, revision and homework
• A dependable lesson on a topic that often costs marks

Love this? You’ll love…

• Volume and Surface Area of Cubes and Cuboids — Interactive Lesson (Ages 14–16)
• Arc Length and Sector Area — Interactive Lesson & Worksheet (Ages 14–16)
• Pythagoras Theorem — Interactive Lesson (Ages 14–16)

A dependable addition to a GCSE geometry and measures unit, giving students a clear method for prisms and cylinders. Secure volume and surface area skills support work on pyramids, cones and spheres.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover surface area as well as volume? Yes — both cylinders and prisms.

Is it self-marking? Yes, with instant feedback on the questions.