39 self-marking GCSE and IGCSE practice questions on Volume of prisms and cylinders, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.
A few of the 39 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 3-4
A trapezoidal prism has a trapezoidal cross-section with parallel sides 3 cm and 10 cm, and perpendicular height 5 cm. The length of the prism is 14 cm. Calculate the volume of the prism.
What are the common mistakes in Volume of prisms and cylinders?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Forgets to halve the cross-sectional area (e.g. a triangular prism) before multiplying by length
Used the full rectangle area (base × height) for the triangular cross-section instead of halving it, forgetting that a triangle's area is half of base × height.
Uses the radius directly instead of squaring it in the cylinder volume formula
Used radius = 2 directly instead of squaring it. The formula is πr2h=π×22×13=52π
Quick answers about Volume of prisms and cylinders
How many Volume of prisms and cylinders practice questions are there?
There are 39 self-marking GCSE and IGCSE Maths questions on Volume of prisms and cylinders, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
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Show the worked solution
Volume of trapezoidal prism =cross-sectional area×length
=21×(3+10)×5×14
=32.5×14M1
=455 cm³ A1
Question 24 marksGrade 3-4
Cylinder A has radius 3 cm and height 10 cm.
a) Calculate the volume of cylinder A, correct to 1 decimal place.
b) Cylinder B has radius 5 cm and height 6 cm, and volume 471.2 cm³. Work out the volume of cylinder A as a percentage of the volume of cylinder B, to the nearest whole percent.
Show the worked solution
Volume of A =πr2h=π×32×10=282.7 cm³ M1
Question 33 marksGrade 5
In this cuboid all lengths are in centimetres. Two of the edges have length k, and the third edge has length 5.
The cuboid has a volume of 320 cm³.
Find the value of k.
Question 43 marksGrade 5
A container is in the shape of a cuboid, with dimensions 19 cm, 6 cm and 30 cm.
The container is 2/3 full of water. A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from the container?
Question 53 marksGrade 6-7
An empty container is a cylinder of radius 3.5 cm and height 40 cm.
A tennis ball is a sphere of radius 3.5 cm.
Will six of the tennis balls fit in the container, stacked on top of each other? Show working to support your answer.
Question 65 marksGrade 8-9
A triangular prism has right-angled-triangle ends with base 16 cm and height 12 cm; the prism is 18 cm long.
A cube has the same volume as the prism.
Find the surface area of the cube. You must show your working.
Omits the factor of a half in the trapezium area formula before using it as a prism's cross-sectional area
Computes (10 + 3) × 4 × 11 = 572 instead of ½ × (10 + 3) × 4 × 11 = 286, omitting the ½ in the trapezium cross-sectional area before multiplying by the prism length.