If the depth of a river increases by 2 m and the width remains constant, how doe
Practice Questions
Q1
If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water in a section of the river that is 100 m long? (2022)
200 m³
100 m³
300 m³
400 m³
Questions & Step-by-Step Solutions
If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water in a section of the river that is 100 m long? (2022)
Step 1: Understand that the volume of water in a river section can be calculated using the formula: Volume = Width x Depth x Length.
Step 2: Identify the given information: The depth of the river increases by 2 meters, the width remains constant, and the length of the river section is 100 meters.
Step 3: Since the width is constant, we can represent it as 'Width'.
Step 4: Calculate the increase in volume due to the increase in depth: Increase in volume = Width x Increase in depth x Length.
Step 5: Substitute the values into the formula: Increase in volume = Width x 2 m x 100 m.
Step 6: If we assume the width is 1 meter for calculation, then Increase in volume = 1 m x 2 m x 100 m.
Step 7: Calculate the result: Increase in volume = 200 m³.