studyGeometry & Mensuration
CoreMaths revision

Surface Area and Volume

Calculate surface areas and volumes of common solids and compare how they scale.

Focus points
✓Use cylinder, prism and sphere formulas.
✓Separate curved and total surface area.
✓Reason with scale factors.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · cylinder volume
Find the volume of a cylinder with radius 3 cm and height 10 cm.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · cylinder surface area
Find the total surface area of a closed cylinder with radius 4 cm and height 7 cm.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · prism volume
Find the volume of a triangular prism with triangular cross-section base 8 cm, height 5 cm, and prism length 12 cm.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · sphere surface area
Find the surface area of a sphere of radius 6 cm.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · sphere volume
Find the volume of a sphere of radius 3 cm.
Question 6ApplicationCore
Original practice · Free Online Revision
Skill · volume application
A cylindrical tank radius 2 m and height 5 m is 60% full. Find water volume.
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · scaling
If all lengths of a solid are multiplied by 1.5, by what factor does surface area change? volume?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · volume comparison
A sphere and cylinder have equal radius r. The cylinder height is 2r. Compare their volumes as sphere:cylinder.