Our worldAges 13-15

River cross-section & discharge

Use Q = A × v to calculate river discharge in m³/s from cross-sectional area and flow velocity. Review suitability for your learners before teaching.

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Age band:Ages 10-12 Ages 13-15

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Worksheet StudioPractice pack · Ages 13-15

River cross-section & discharge

Take your time. Show your thinking.

1. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
5 m · 2 m/s · River cross-section & disc…
2. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
22 m · 4 m/s · River cross-section & disc…
3. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
21 m · 4 m/s · River cross-section & disc…
4. A river channel has a wet cross-sectional area of 13 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
13 m · 7 m/s · River cross-section & disc…
5. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
5 m · 6 m/s · River cross-section & disc…
6. A river channel has a wet cross-sectional area of 20 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
20 m · 1 m/s · River cross-section & disc…
7. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
12 m · 5 m/s · River cross-section & disc…
8. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
17 m · 6 m/s · River cross-section & disc…
9. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
25 m · 5 m/s · River cross-section & disc…
10. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
14 m · 7 m/s · River cross-section & disc…
11. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
12 m · 2 m/s · River cross-section & disc…
12. A river channel has a wet cross-sectional area of 9 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
9 m · 2 m/s · River cross-section & disc…

12 questions · Seed 51 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

River cross-section & discharge

Answers and reasoning. Review before teaching.

1. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
10 m³/s
Discharge Q = cross-sectional area × velocity = 5 m² × 2 m/s = 10 m³/s.
2. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
88 m³/s
Discharge Q = cross-sectional area × velocity = 22 m² × 4 m/s = 88 m³/s.
3. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
84 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 4 m/s = 84 m³/s.
4. A river channel has a wet cross-sectional area of 13 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
91 m³/s
Discharge Q = cross-sectional area × velocity = 13 m² × 7 m/s = 91 m³/s.
5. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
30 m³/s
Discharge Q = cross-sectional area × velocity = 5 m² × 6 m/s = 30 m³/s.
6. A river channel has a wet cross-sectional area of 20 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
20 m³/s
Discharge Q = cross-sectional area × velocity = 20 m² × 1 m/s = 20 m³/s.
7. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
60 m³/s
Discharge Q = cross-sectional area × velocity = 12 m² × 5 m/s = 60 m³/s.
8. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
102 m³/s
Discharge Q = cross-sectional area × velocity = 17 m² × 6 m/s = 102 m³/s.
9. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
125 m³/s
Discharge Q = cross-sectional area × velocity = 25 m² × 5 m/s = 125 m³/s.
10. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
98 m³/s
Discharge Q = cross-sectional area × velocity = 14 m² × 7 m/s = 98 m³/s.
11. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
24 m³/s
Discharge Q = cross-sectional area × velocity = 12 m² × 2 m/s = 24 m³/s.
12. A river channel has a wet cross-sectional area of 9 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
18 m³/s
Discharge Q = cross-sectional area × velocity = 9 m² × 2 m/s = 18 m³/s.

12 questions · Seed 51 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

River cross-section & discharge

Take your time. Show your thinking.

1. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
5 m · 2 m/s · River cross-section & disc…
2. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
22 m · 4 m/s · River cross-section & disc…
3. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
21 m · 4 m/s · River cross-section & disc…
4. A river channel has a wet cross-sectional area of 13 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
13 m · 7 m/s · River cross-section & disc…
5. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
5 m · 6 m/s · River cross-section & disc…
6. A river channel has a wet cross-sectional area of 20 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
20 m · 1 m/s · River cross-section & disc…
7. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
12 m · 5 m/s · River cross-section & disc…
8. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
17 m · 6 m/s · River cross-section & disc…
9. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
25 m · 5 m/s · River cross-section & disc…
10. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
14 m · 7 m/s · River cross-section & disc…
11. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
12 m · 2 m/s · River cross-section & disc…
12. A river channel has a wet cross-sectional area of 9 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
9 m · 2 m/s · River cross-section & disc…

12 questions · Seed 51 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

River cross-section & discharge

Answers and reasoning. Review before teaching.

1. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
10 m³/s
Discharge Q = cross-sectional area × velocity = 5 m² × 2 m/s = 10 m³/s.
2. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
88 m³/s
Discharge Q = cross-sectional area × velocity = 22 m² × 4 m/s = 88 m³/s.
3. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
84 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 4 m/s = 84 m³/s.
4. A river channel has a wet cross-sectional area of 13 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
91 m³/s
Discharge Q = cross-sectional area × velocity = 13 m² × 7 m/s = 91 m³/s.
5. A river channel has a wet cross-sectional area of 5 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
30 m³/s
Discharge Q = cross-sectional area × velocity = 5 m² × 6 m/s = 30 m³/s.
6. A river channel has a wet cross-sectional area of 20 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
20 m³/s
Discharge Q = cross-sectional area × velocity = 20 m² × 1 m/s = 20 m³/s.
7. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
60 m³/s
Discharge Q = cross-sectional area × velocity = 12 m² × 5 m/s = 60 m³/s.
8. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
102 m³/s
Discharge Q = cross-sectional area × velocity = 17 m² × 6 m/s = 102 m³/s.
9. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
125 m³/s
Discharge Q = cross-sectional area × velocity = 25 m² × 5 m/s = 125 m³/s.
10. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
98 m³/s
Discharge Q = cross-sectional area × velocity = 14 m² × 7 m/s = 98 m³/s.
11. A river channel has a wet cross-sectional area of 12 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
24 m³/s
Discharge Q = cross-sectional area × velocity = 12 m² × 2 m/s = 24 m³/s.
12. A river channel has a wet cross-sectional area of 9 m² and an average flow velocity of 2 m/s. Use Q = A × v to calculate its discharge.
18 m³/s
Discharge Q = cross-sectional area × velocity = 9 m² × 2 m/s = 18 m³/s.

12 questions · Seed 51 · Age guidance, not curriculum certification