If the depth of a river increases by 2 m and the width remains constant, how doe

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Question: 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)

Options:

200 m³
100 m³
300 m³
400 m³

Correct Answer: 200 m³

Exam Year: 2022

Solution:

Volume = Width x Depth x Length. Increase in volume = Width x 2 m x 100 m. Assuming width = 1 m, Volume = 1 m x 2 m x 100 m = 200 m³.

If the depth of a river increases by 2 m and the width remains constant, how doe

Practice Questions

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.

Volume Calculation – Understanding how to calculate the volume of a prism (in this case, a section of the river) using the formula Volume = Width x Depth x Length.
Impact of Changes in Dimensions – Analyzing how changes in one dimension (depth) affect the overall volume when other dimensions (width and length) remain constant.

If the depth of a river increases by 2 m and the width remains constant, how doe

What’s inside this PDF?

If the depth of a river increases by 2 m and the width remains constant, how doe

Practice Questions

Questions & Step-by-Step Solutions

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