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A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?
- a)1 m
- b)1⋅5 m
- c)2 m
- d)2⋅5 m
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of...
L×B×H = unit^3
So 260×140×H = 54600
So H = 54600÷260×140
H = 54600÷36400
H = 1.5 meter
So 260×140×H = 54600
So H = 54600÷260×140
H = 54600÷36400
H = 1.5 meter
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Community Answer
A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of...
Understanding the Problem
To find the height of the water level in the swimming pool, we need to use the formula for the volume of a rectangular prism (which the pool resembles).
Volume Formula
The volume (V) of a rectangular prism is calculated as:
- V = length × width × height
In this case:
- Length = 260 m
- Width = 140 m
- Volume of water = 54,600 m³
Finding the Height
Rearranging the volume formula to find height (h):
- h = V / (length × width)
Now, plug in the values:
- h = 54,600 m³ / (260 m × 140 m)
Calculating the Area of the Base
First, calculate the area of the base (length × width):
- Area = 260 m × 140 m = 36,400 m²
Calculating the Height
Now, substitute the area back into the height formula:
- h = 54,600 m³ / 36,400 m²
Final Calculation
Performing the division:
- h = 54,600 / 36,400 = 1.5 m
Thus, the height of the water level in the swimming pool is:
Correct Answer
- 1.5 m (Option B)
This calculation shows that when 54,600 cubic meters of water is pumped into the pool, it raises the water level to 1.5 meters.
To find the height of the water level in the swimming pool, we need to use the formula for the volume of a rectangular prism (which the pool resembles).
Volume Formula
The volume (V) of a rectangular prism is calculated as:
- V = length × width × height
In this case:
- Length = 260 m
- Width = 140 m
- Volume of water = 54,600 m³
Finding the Height
Rearranging the volume formula to find height (h):
- h = V / (length × width)
Now, plug in the values:
- h = 54,600 m³ / (260 m × 140 m)
Calculating the Area of the Base
First, calculate the area of the base (length × width):
- Area = 260 m × 140 m = 36,400 m²
Calculating the Height
Now, substitute the area back into the height formula:
- h = 54,600 m³ / 36,400 m²
Final Calculation
Performing the division:
- h = 54,600 / 36,400 = 1.5 m
Thus, the height of the water level in the swimming pool is:
Correct Answer
- 1.5 m (Option B)
This calculation shows that when 54,600 cubic meters of water is pumped into the pool, it raises the water level to 1.5 meters.
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A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer?
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A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer?.
A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?a)1 mb)1⋅5 mc)2 md)2⋅5 mCorrect answer is option 'B'. Can you explain this answer?.
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