UniGeniusGCSE Maths · Edexcel 1MA1

Worksheets · Foundation and Higher

Prisms, cylinders and surface area

3 exam-style questions. Answers and the mark for each step are on the last page.

  1. Question 1Non-calculator · 3 marks

    This question is about volumes of prisms.

    (a) A prism has a cross-section of area 12 cm212\text{ cm}^2 and a length of 9 cm. Work out its volume. (2)

    (b) A cuboid measures 5 cm by 4 cm by 3 cm. Work out its volume. (1)

  2. Question 2Non-calculator · 4 marks

    A closed cylinder has radius 3 cm and height 8 cm.

    (a) Find its volume exactly in terms of pi. (2)

    (b) Find the total surface area exactly. (2)

  3. Question 3Calculator · 4 marks

    A closed cylinder has radius 5 cm and volume 1000 cm31000\text{ cm}^3.

    (a) Work out the total surface area of the cylinder. Give your answer correct to 3 significant figures. (4)

Answers and marks

Question 1

(a) 108 cm3108\text{ cm}^3

  • M1 Writing 12×912 \times 9.
  • A1 108 cm3108\text{ cm}^3.

(b) 60 cm360\text{ cm}^3

  • B1 60 cm360\text{ cm}^3.

Question 2

(a) 72π72\pi

  • M1 Multiply the circular base area by the height.
  • A1 Correct answer: 72π72\pi

(b) 66π66\pi

  • M1 Add two circular ends and the curved area.
  • A1 Correct answer: 66π66\pi

Question 3

(a) 557 cm2557\text{ cm}^2

  • P1 Rearranging πr2h=1000\pi r^2 h = 1000 to find hh.
  • P1 The curved surface area 2πrh2\pi r h with their hh.
  • P1 Adding both circular ends, 2πr22\pi r^2.
  • A1 557 cm2557\text{ cm}^2 (awrt 557).

Get your working marked

Prisms, cylinders and surface area

Type your working online and see every mark you earned and lost.

Practise this topic

Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

Privacy · Terms