Year 7 - Volume - Free practice
Year 7 Volume Worksheets & Practice Tests
Volume of right prisms - rectangular, triangular, and word problems.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
They come sorted by topic, so your child knows the method before they read the question.
That's where Tuterly comes in and closes the gap: unlimited questions, mixed up, under test conditions, including worded problems.
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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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From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
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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Talk to us about Year 7 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.