If a river's width is doubled and the depth remains the same, how does this affe

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Question: If a river\'s width is doubled and the depth remains the same, how does this affect the cross-sectional area? (2021)

Options:

Correct Answer: It doubles

Exam Year: 2021

Solution:

Cross-sectional area = Width x Depth. If width is doubled, the area also doubles.

If a river's width is doubled and the depth remains the same, how does this affect the cross-sectional area? (2021)

If a river's width is doubled and the depth remains the same, how does this affect the cross-sectional area? (2021)

Step 1: Understand what cross-sectional area means. It is the area of a slice of the river taken perpendicular to the flow.
Step 2: Know the formula for cross-sectional area: Cross-sectional area = Width x Depth.
Step 3: Identify the current width and depth of the river. Let's say the width is W and the depth is D.
Step 4: If the width is doubled, the new width becomes 2W.
Step 5: The depth remains the same, so it is still D.
Step 6: Calculate the new cross-sectional area using the formula: New area = New width x Depth = (2W) x D.
Step 7: Simplify the new area: New area = 2WD, which is double the original area (W x D).
Step 8: Conclude that if the width is doubled, the cross-sectional area also doubles.

Cross-Sectional Area – The area of a shape that is obtained by cutting through an object, in this case, the river, which is calculated by multiplying its width by its depth.