Year 10 - Surface area and volume - Free practice
Year 10 Surface Area & Volume Worksheets
Composite objects, real-world capacity, optimisation flavours.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 10 surface area and volume problems combine multiple shapes into one composite object. These worksheets push your student into varied splitting-and-summing problems that are common on practice tests and SACs.
What's covered
Sub-skills your student will practise
- ✓Composite solids (prism + cylinder, two prisms)
- ✓Subtraction method for hollow / drilled objects
- ✓Surface area of composite shapes (careful about hidden faces)
- ✓Mixed capacity and volume problems
- ✓Real-world applications (tanks, packaging)
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Frequently asked
Questions parents ask about surface area and volume
What's a composite solid?
A 3D shape made of two or more simpler shapes - a prism on top of a cylinder, two prisms joined, a sphere with a hole. Year 10 expects students to handle volume and surface area for these.
What's the trickiest part of composite surface area?
The hidden faces. Where two shapes join, the contact faces don't count toward surface area. Students who blindly add the SAs of each piece overcount these.
Are spheres and cones in Year 10 or 10A?
Spheres and cones are Year 10A topics. Mainstream Year 10 focuses on prisms, cylinders, and their composites. If your school follows the Methods pathway, expect Year 10A.
How does Year 10 SA differ from Year 9?
Year 10 introduces composite shapes (multiple solids joined), hollow / drilled objects (a cylinder with a hole), and more complex real-world problems (paint coverage, packaging materials). Year 9 stayed with single shapes.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 10 surface area and volume.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.