
A curriculum-aligned prisms question bank covering rectangular prisms, triangular prisms, nets, surface area and volume — with worded problems set in real architecture, packaging and engineering contexts. Built for teachers planning middle and senior geometry, with mild, medium and spicy versions so every student in the class has a question pitched at the right level.
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Volume and Surface Area, Worked Through Properly


Differentiated for the Whole Class
Worded Problems Students Recognise

Volume of rectangular, triangular and composite prisms; total surface area from nets; cross-section reasoning; missing-dimension problems where students rearrange the formula. Answer keys show every step so students can self-check.
Three difficulty tiers per question — mild, medium and spicy — so the same lesson works for the student still building length-by-width-by-height fluency and the student ready for composite prisms and unknown side lengths. Worked solutions included.
Packaging design, swimming pool volume, paint coverage on a shed, fish-tank capacity, and concrete for a skate ramp. Real contexts that show students why prisms matter outside the textbook, aligned to the Australian Curriculum v9.0 and US Common Core geometry standards.
- You in approximately four minutes
Types of Prisms and Their Nets
Volume of Rectangular and Triangular Prisms
Surface Area and Real-World Applications
Identifying rectangular prisms, triangular prisms, pentagonal and hexagonal prisms by their cross-section, then matching each solid to its 2D net. Students count faces, edges and vertices, decide which nets fold into a closed prism, and sketch nets for shapes drawn in isometric view.
Volume calculated as cross-sectional area multiplied by length. The bank covers rectangular prisms (length × width × height), triangular prisms (½ × base × height × length), and composite prisms made by joining or removing a smaller prism. Spicy questions reverse the problem — given the volume and two dimensions, find the third.
Total surface area calculated from the net, then applied to wrapping a present, painting a shipping container, lining a swimming pool and estimating cardboard for packaging. Questions use realistic measurements in centimetres, metres or inches and ask students to convert between units before answering.