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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Volume, surface area & nets

How often Volume, surface area & nets comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

OL Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Volume, surface area & nets, Higher Level(6 marks)

Quick ones on Volume, surface area & nets.

(a)Volume of a cylinder with radius 5 cm and height 12 cm, in terms of π?
  1. 120π cm³
  2. 300π cm³
  3. 1200π cm³
(b)Volume of a sphere of radius 6 cm, in terms of π?
  1. 864π cm³
  2. 144π cm³
  3. 288π cm³
(c)Surface area of a sphere of radius 5 cm, in terms of π?
  1. 100π cm²
  2. 20π cm²
  3. 25π cm²
Show the answers

(a) 300π cm³

(b) 288π cm³

(c) 100π cm²

Your turn: Higher Level questions on Volume, surface area & nets.

Higher Level

Asked on 5 of the last 5 Higher Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q10, Q13
2025Q7
2024Q4, Q6, Q7
2023Q3
2022Q5

Links open the State Examinations Commission’s paper for that year.

More Volume, surface area & nets questions

Volume, surface area & nets, 3 marks

Volume of a hemisphere of radius 3 cm, in terms of π?

  1. 36π cm³
  2. 9π cm³
  3. 18π cm³
Show the answer

18π cm³

A full sphere has volume (4/3)π × 3³ = 36π cm³. A hemisphere is half a sphere: 36π ÷ 2 = 18π cm³.

Volume, surface area & nets, 3 marks

A cylinder has volume 360π cm³ and radius 6 cm. What is its height?

  1. 30 cm
  2. 10 cm
  3. 60 cm
Show the answer

10 cm

πr²h = 360π, so 36πh = 360π and h = 360 ÷ 36 = 10 cm. Remember to square the radius.

Volume, surface area & nets, 3 marks

A solid is a cylinder (radius 3 cm, height 10 cm) with a hemisphere of radius 3 cm on top. Volume, in terms of π?

  1. 108π cm³
  2. 126π cm³
  3. 90π cm³
Show the answer

108π cm³

Cylinder: π × 3² × 10 = 90π. Hemisphere: half of (4/3)π × 27 = 18π. Total = 108π cm³. 126π wrongly adds a whole sphere (36π).

Ordinary Level

Asked on 5 of the last 5 Ordinary Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q11
2025Q12
2024Q9
2023Q10
2022Q3

Links open the State Examinations Commission’s paper for that year.

More Volume, surface area & nets questions

Volume, surface area & nets, 2 marks

Find the volume of a box 5 cm long, 4 cm wide and 3 cm high.

  1. 12 cm³
  2. 94 cm³
  3. 60 cm³
Show the answer

60 cm³

Volume of a rectangular box = length × width × height = 5 × 4 × 3 = 60 cm³. (94 cm² is its surface area.)

Volume, surface area & nets, 2 marks

How many faces does a cuboid (rectangular box) have?

  1. 12
  2. 6
  3. 8
Show the answer

6

A cuboid has 6 faces, 8 vertices (corners) and 12 edges. Its net is made of 6 rectangles.

Volume, surface area & nets, 3 marks

A cylinder has radius 2 cm and height 10 cm. Find its volume in terms of π.

  1. 40π cm³
  2. 20π cm³
  3. 160π cm³
Show the answer

40π cm³

Volume of a cylinder = πr²h = π × 2² × 10 = π × 4 × 10 = 40π cm³. Forgetting to square the radius gives 20π.

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