Year 8 Maths • AC9M8M02 • Authored homework
Volume and capacity of right prisms
Practise Volume and capacity of right prisms through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.
Part A
Short-answer questions
Find the volume of a rectangular prism 8 cm by 5 cm by 3 cm.
Convert 2500 cm³ to litres.
Explain why volume is measured in cubic units.
A student multiplies only length × width for a prism volume. Correct the method.
Write the rule or formula most useful for Volume and capacity of right prisms.
Show how to check one answer using estimation, substitution or inverse operations.
Write one common mistake students make in Volume and capacity of right prisms and correct it.
Create a small table, diagram or equation that represents this topic.
State where units, exact form or rounding matter in this topic.
Write one exam-style short question on Volume and capacity of right prisms and solve it.
Part B
Long-answer questions
A fish tank is 60 cm by 30 cm by 40 cm. Find its capacity in litres.
Compare two containers and decide which holds more, showing unit conversions.
Solve a multi-step problem involving Volume and capacity of right prisms and explain every step clearly.
Create a realistic word problem for Volume and capacity of right prisms, solve it and interpret the answer.
Compare two methods for a problem in Volume and capacity of right prisms and explain which is more efficient.
Write a worked solution that includes a check for reasonableness.
Create a problem with a deliberate trap, then solve it correctly and explain the trap.
Use a diagram, table, graph or equation to model a situation involving Volume and capacity of right prisms.
Explain how this topic connects to a previous Year 7 or Year 8 maths skill.
Write a full-mark response to a challenging Volume and capacity of right prisms question, including reasoning and final answer.
Part C
Research and understanding task
Research a real container, tank or package. Estimate its volume and capacity using measurements.