Year 7 - Volume - Free practice
Year 7 Volume Worksheets & Practice Tests
Volume of right prisms - rectangular, triangular, and word problems.
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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 7 introduces the formula "volume = area of cross-section x length" for right prisms. These worksheets give your student varied practice on rectangular and triangular prisms, plus the wordier problems VCAA loves to put on practice tests.
What's covered
Sub-skills your student will practise
- ✓Volume of a rectangular prism
- ✓Volume of a triangular prism
- ✓Volume in litres vs cubic centimetres
- ✓Compound-prism word problems (swimming pools, garden beds)
- ✓Working back from a known volume to find a missing dimension
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Frequently asked
Questions parents ask about volume
What does Year 7 volume cover?
The volume of right prisms - mostly rectangular and triangular prisms - using the formula 'area of cross-section x length'. Year 8 extends this to capacity in litres and Year 9 brings in cylinders.
What does 'right prism' mean exactly?
A right prism has its top and bottom faces parallel and the sides perpendicular to them. The cross-section (shape of the top and bottom) stays the same all the way through. Examples: rectangular boxes, triangular toblerone bars.
How do students approach a tricky volume word problem?
Identify the cross-section first, calculate its area, then multiply by the length perpendicular to that cross-section. For a swimming pool, the cross-section is usually the side view (a rectangle or trapezium).
What units does Year 7 volume use?
Cubic units - cm^3 or m^3. Capacity (mL, L) arrives in Year 8 with the relationship 1 mL = 1 cm^3. For Year 7, sticking to cubic units is enough.
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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