Skip to content

Paper Together: sit a paper in a room with your friends.See how it works

Volume of a prism practice questions with answers

Foundation and Higher · Grade 4

A second set of volume of a prism questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A prism has a cross-section of area 10 cm² and a length of 10 cm. What is the volume in cm³?

Show answer

Answer: 100

  1. Volume of a prism = area of cross-section × length.
  2. Volume = 10 × 10.
  • Method (1): Volume of a prism = area of cross-section × length.
  • Accuracy (1): Answer 100

Question 2 Easy

A cuboid measures 8 cm by 7 cm by 8 cm. Work out its volume in cm³.

Show answer

Answer: 448

  1. The cross-section is 8 × 7 = 56 cm².
  2. Volume = 56 × 8.
  • Method (1): The cross-section is 8 × 7 = 56 cm².
  • Accuracy (1): Answer 448

Question 3 Medium

A prism has a volume of 42 cm³. Its cross-section has an area of 7 cm². How long is the prism?

Show answer

Answer: 6

  1. Volume = area × length, so length = volume ÷ area.
  2. Length = 42 ÷ 7.
  • Method (1): Volume = area × length, so length = volume ÷ area.
  • Accuracy (1): Answer 6

Question 4 Medium

A prism has a cross-section of area 13 cm² and a length of 6 cm. What is the volume in cm³?

Show answer

Answer: 78

  1. Volume of a prism = area of cross-section × length.
  2. Volume = 13 × 6.
  • Method (1): Volume of a prism = area of cross-section × length.
  • Accuracy (1): Answer 78

Question 5 Hard

A tank is a cuboid 30 cm by 40 cm by 25 cm. How many litres of water does it hold when it is full?

Show answer

Answer: 30

  1. Volume = 30 × 40 × 25 = 30000 cm³.
  2. 1 litre = 1000 cm³.
  • Method (1): Volume = 30 × 40 × 25 = 30000 cm³.
  • Accuracy (1): Answer 30

Question 6 Hard

A prism has a volume of 120 cm³. Its cross-section has an area of 10 cm². How long is the prism?

Show answer

Answer: 12

  1. Volume = area × length, so length = volume ÷ area.
  2. Length = 120 ÷ 10.
  • Method (1): Volume = area × length, so length = volume ÷ area.
  • Accuracy (1): Answer 12

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 13 marks

A tank is a cuboid 50 cm by 50 cm by 20 cm. How many litres of water does it hold when it is full?

Show answer

Answer: 50

  1. Volume = 50 × 50 × 20 = 50000 cm³.
  2. 1 litre = 1000 cm³.
  3. 50000 ÷ 1000 = 50 litres.
  • Method (1): Volume = 50 × 50 × 20 = 50000 cm³.
  • Method (1): 1 litre = 1000 cm³.
  • Accuracy (1): Answer 50

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A prism has a cross-section of area 25 cm² and a length of 3 cm. What is the volume in cm³?

  1. 75
  2. 28
  3. 225
Show answer

75 The result is 75.

Check 2

A cuboid measures 8 cm by 6 cm by 7 cm. Work out its volume in cm³.

  1. 336
  2. 21
  3. 292
Show answer

336 The result is 336.

Check 3

A triangular prism has a triangular end with base 12 cm and perpendicular height 7 cm. The prism is 4 cm long. Work out its volume in cm³.

  1. 168
  2. 336
  3. 46
Show answer

168 The result is 168.

Check 4

A tank is a cuboid 50 cm by 40 cm by 30 cm. How many litres of water does it hold when it is full?

  1. 60
  2. 60000
  3. 600
Show answer

60 The result is 60.

Check 5

A prism has a volume of 133 cm³. Its cross-section has an area of 19 cm². How long is the prism?

  1. 7
  2. 114
  3. 2527
Show answer

7 The result is 7.

Check 6

A prism has a cross-section of area 23 cm² and a length of 10 cm. What is the volume in cm³?

  1. 230
  2. 33
  3. 2300
Show answer

230 The result is 230.

Check 7

A cuboid measures 8 cm by 7 cm by 10 cm. Work out its volume in cm³.

  1. 560
  2. 25
  3. 412
Show answer

560 The result is 560.

Check 8

A triangular prism has a triangular end with base 8 cm and perpendicular height 4 cm. The prism is 9 cm long. Work out its volume in cm³.

  1. 144
  2. 288
  3. 25
Show answer

144 The result is 144.

Check 9

A tank is a cuboid 50 cm by 50 cm by 20 cm. How many litres of water does it hold when it is full?

  1. 50
  2. 50000
  3. 500
Show answer

50 The result is 50.

Check 10

A prism has a volume of 264 cm³. Its cross-section has an area of 22 cm². How long is the prism?

  1. 12
  2. 242
  3. 5808
Show answer

12 The result is 12.

Check 11

A prism has a cross-section of area 22 cm² and a length of 6 cm. What is the volume in cm³?

  1. 132
  2. 28
  3. 792
Show answer

132 The result is 132.

Check 12

A cuboid measures 6 cm by 8 cm by 9 cm. Work out its volume in cm³.

  1. 432
  2. 23
  3. 348
Show answer

432 The result is 432.

Check 13

A triangular prism has a triangular end with base 12 cm and perpendicular height 6 cm. The prism is 7 cm long. Work out its volume in cm³.

  1. 252
  2. 504
  3. 43
Show answer

252 The result is 252.

Check 14

A tank is a cuboid 10 cm by 20 cm by 50 cm. How many litres of water does it hold when it is full?

  1. 10
  2. 10000
  3. 100
Show answer

10 The result is 10.

Check 15

A prism has a volume of 252 cm³. Its cross-section has an area of 21 cm². How long is the prism?

  1. 12
  2. 231
  3. 5292
Show answer

12 The result is 12.

Keep going with Volume of a prism

Practise free

Start free

AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.

Next topicPractise free