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 16 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
16 m · 6 m/s · River cross-section & disc…
2. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
21 m · 7 m/s · River cross-section & disc…
3. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
14 m · 1 m/s · River cross-section & disc…
4. A river channel has a wet cross-sectional area of 24 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
24 m · 5 m/s · River cross-section & disc…
5. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
17 m · 7 m/s · River cross-section & disc…
6. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 8 m/s. Use Q = A × v to calculate its discharge.
21 m · 8 m/s · River cross-section & disc…
7. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
25 m · 7 m/s · River cross-section & disc…
8. A river channel has a wet cross-sectional area of 7 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
7 m · 4 m/s · River cross-section & disc…
9. A river channel has a wet cross-sectional area of 15 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
15 m · 7 m/s · River cross-section & disc…
10. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
22 m · 5 m/s · River cross-section & disc…
11. A river channel has a wet cross-sectional area of 16 m² and an average flow velocity of 3 m/s. Use Q = A × v to calculate its discharge.
16 m · 3 m/s · River cross-section & disc…
12. A river channel has a wet cross-sectional area of 11 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
11 m · 7 m/s · River cross-section & disc…

12 questions · Seed 104729 · 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 16 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
96 m³/s
Discharge Q = cross-sectional area × velocity = 16 m² × 6 m/s = 96 m³/s.
2. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
147 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 7 m/s = 147 m³/s.
3. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
14 m³/s
Discharge Q = cross-sectional area × velocity = 14 m² × 1 m/s = 14 m³/s.
4. A river channel has a wet cross-sectional area of 24 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
120 m³/s
Discharge Q = cross-sectional area × velocity = 24 m² × 5 m/s = 120 m³/s.
5. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
119 m³/s
Discharge Q = cross-sectional area × velocity = 17 m² × 7 m/s = 119 m³/s.
6. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 8 m/s. Use Q = A × v to calculate its discharge.
168 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 8 m/s = 168 m³/s.
7. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
175 m³/s
Discharge Q = cross-sectional area × velocity = 25 m² × 7 m/s = 175 m³/s.
8. A river channel has a wet cross-sectional area of 7 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
28 m³/s
Discharge Q = cross-sectional area × velocity = 7 m² × 4 m/s = 28 m³/s.
9. A river channel has a wet cross-sectional area of 15 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
105 m³/s
Discharge Q = cross-sectional area × velocity = 15 m² × 7 m/s = 105 m³/s.
10. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
110 m³/s
Discharge Q = cross-sectional area × velocity = 22 m² × 5 m/s = 110 m³/s.
11. A river channel has a wet cross-sectional area of 16 m² and an average flow velocity of 3 m/s. Use Q = A × v to calculate its discharge.
48 m³/s
Discharge Q = cross-sectional area × velocity = 16 m² × 3 m/s = 48 m³/s.
12. A river channel has a wet cross-sectional area of 11 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
77 m³/s
Discharge Q = cross-sectional area × velocity = 11 m² × 7 m/s = 77 m³/s.

12 questions · Seed 104729 · 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 16 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
16 m · 6 m/s · River cross-section & disc…
2. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
21 m · 7 m/s · River cross-section & disc…
3. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
14 m · 1 m/s · River cross-section & disc…
4. A river channel has a wet cross-sectional area of 24 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
24 m · 5 m/s · River cross-section & disc…
5. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
17 m · 7 m/s · River cross-section & disc…
6. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 8 m/s. Use Q = A × v to calculate its discharge.
21 m · 8 m/s · River cross-section & disc…
7. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
25 m · 7 m/s · River cross-section & disc…
8. A river channel has a wet cross-sectional area of 7 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
7 m · 4 m/s · River cross-section & disc…
9. A river channel has a wet cross-sectional area of 15 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
15 m · 7 m/s · River cross-section & disc…
10. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
22 m · 5 m/s · River cross-section & disc…
11. A river channel has a wet cross-sectional area of 16 m² and an average flow velocity of 3 m/s. Use Q = A × v to calculate its discharge.
16 m · 3 m/s · River cross-section & disc…
12. A river channel has a wet cross-sectional area of 11 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
11 m · 7 m/s · River cross-section & disc…

12 questions · Seed 104729 · 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 16 m² and an average flow velocity of 6 m/s. Use Q = A × v to calculate its discharge.
96 m³/s
Discharge Q = cross-sectional area × velocity = 16 m² × 6 m/s = 96 m³/s.
2. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
147 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 7 m/s = 147 m³/s.
3. A river channel has a wet cross-sectional area of 14 m² and an average flow velocity of 1 m/s. Use Q = A × v to calculate its discharge.
14 m³/s
Discharge Q = cross-sectional area × velocity = 14 m² × 1 m/s = 14 m³/s.
4. A river channel has a wet cross-sectional area of 24 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
120 m³/s
Discharge Q = cross-sectional area × velocity = 24 m² × 5 m/s = 120 m³/s.
5. A river channel has a wet cross-sectional area of 17 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
119 m³/s
Discharge Q = cross-sectional area × velocity = 17 m² × 7 m/s = 119 m³/s.
6. A river channel has a wet cross-sectional area of 21 m² and an average flow velocity of 8 m/s. Use Q = A × v to calculate its discharge.
168 m³/s
Discharge Q = cross-sectional area × velocity = 21 m² × 8 m/s = 168 m³/s.
7. A river channel has a wet cross-sectional area of 25 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
175 m³/s
Discharge Q = cross-sectional area × velocity = 25 m² × 7 m/s = 175 m³/s.
8. A river channel has a wet cross-sectional area of 7 m² and an average flow velocity of 4 m/s. Use Q = A × v to calculate its discharge.
28 m³/s
Discharge Q = cross-sectional area × velocity = 7 m² × 4 m/s = 28 m³/s.
9. A river channel has a wet cross-sectional area of 15 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
105 m³/s
Discharge Q = cross-sectional area × velocity = 15 m² × 7 m/s = 105 m³/s.
10. A river channel has a wet cross-sectional area of 22 m² and an average flow velocity of 5 m/s. Use Q = A × v to calculate its discharge.
110 m³/s
Discharge Q = cross-sectional area × velocity = 22 m² × 5 m/s = 110 m³/s.
11. A river channel has a wet cross-sectional area of 16 m² and an average flow velocity of 3 m/s. Use Q = A × v to calculate its discharge.
48 m³/s
Discharge Q = cross-sectional area × velocity = 16 m² × 3 m/s = 48 m³/s.
12. A river channel has a wet cross-sectional area of 11 m² and an average flow velocity of 7 m/s. Use Q = A × v to calculate its discharge.
77 m³/s
Discharge Q = cross-sectional area × velocity = 11 m² × 7 m/s = 77 m³/s.

12 questions · Seed 104729 · Age guidance, not curriculum certification